Exam 5: Coordinate Geometry and Linear Systems

Decide which of the given ordered pairs is a solution of the given system of equations. $\left( \begin{array} { l } 2 x + y = 12 \\2 x - 3 y = - 4\end{array} \right)$

(Multiple Choice)

4.7/5

(34)

Question 21

Find the equation of the line that contains the two given points. Express the equation in the form $A x + B y = C$ , where A , B , and C are integers. $( - 2,0 ) , ( 0 , - 5 )$

(Short Answer)

4.7/5

(38)

Question 22

Find y if the line through the points (20, 6) and (4, y ) has a slope of $\frac { 9 } { 4 }$ .

(Multiple Choice)

4.7/5

(30)

Question 23

Write the equation of the line that satisfies the given condition: contains the origin and is perpendicular to the line 6 x + 9 y = 4. Simplify your answer as much as possible. Express the final equation in standard form.

(Short Answer)

4.9/5

(37)

Question 24

What graph illustrates the inequality 4 x + 5 y < 3?

(Multiple Choice)

4.8/5

(27)

Question 25

Use the elimination-by-addition method to solve the system. $\left( \begin{array} { c } x - 6 y = 39 \\4 x + 3 y = - 6\end{array} \right)$

(Short Answer)

4.8/5

(40)

Question 26

Match the equation of the line with the point it contains and its slope. - $y = 9 x - 6$

(Multiple Choice)

4.9/5

(39)

Question 27

Graph the linear equation. $x - 4 y = 0$

(Multiple Choice)

4.8/5

(32)

Question 28

Find the equation for the graph.

(Multiple Choice)

4.9/5

(40)

Question 29

Use the elimination-by-addition method to solve the system. $\left( \begin{array} { c } 12 x - 4 y = - 5 \\8 x + 2 y = - 1\end{array} \right)$

(Short Answer)

4.9/5

(30)

Question 30

Match the equation of the line with the point it contains and its slope. - $y + 4 x = 9$

(Multiple Choice)

4.7/5

(38)

Question 31

Solve the system by using the substitution method. $\left( \begin{array} { c } x - 6 y = 11 \\- 5 x + 4 y = - 3\end{array} \right)$

(Multiple Choice)

4.7/5

(34)

Question 32

Match the following inequalities with the corresponding graph. -

(Multiple Choice)

4.8/5

(42)

Question 33

A line is determined by the pair of points, $( 3,8 )$ and $( 8,3 )$ . Is the slope of the line positive, negative, zero, or undefined?

(Short Answer)

4.8/5

(32)

Question 34

Decide which of the given ordered pairs is a solution of the given system of equations. $\left( \begin{array} { l } x + y = 2 \\x - y = 6\end{array} \right)$

(Multiple Choice)

4.8/5

(37)

Question 35

Solve the system by using the substitution method. $\left( \begin{array} { l } 7 x - 2 y = 26 \\x = 2 y - 4\end{array} \right)$

(Multiple Choice)

5.0/5

(37)

Question 36

Determine the slope of the line 2 x - 5 y = -1.

(Short Answer)

4.8/5

(36)

Question 37

Find the slope of the line determined by this pair of points. (5, 3), (15, 6)

(Short Answer)

4.8/5

(38)

Question 38

Find the equation of the line that contains the two given points. Express the equation in the form $A x + B y = C$ , where A , B , and C are integers. (5, 3), (7, 10)

(Short Answer)

4.8/5

(36)

Question 39

Use the elimination-by-addition method to solve the system. $\left( \begin{array} { c } 4 x + 6 y = - 8 \\8 x - 6 y = 92\end{array} \right)$

(Short Answer)

4.7/5

(38)

Question 40

Decide which of the given ordered pairs is a solution of the given system of equations. $\left( \begin{array} { l } 2 x + y = 12 \\2 x - 3 y = - 4\end{array} \right)$

Find the equation of the line that contains the two given points. Express the equation in the form $A x + B y = C$ , where A , B , and C are integers. $( - 2,0 ) , ( 0 , - 5 )$

Find y if the line through the points (20, 6) and (4, y ) has a slope of $\frac { 9 } { 4 }$ .

Write the equation of the line that satisfies the given condition: contains the origin and is perpendicular to the line 6 x + 9 y = 4. Simplify your answer as much as possible. Express the final equation in standard form.

What graph illustrates the inequality 4 x + 5 y < 3?

Use the elimination-by-addition method to solve the system. $\left( \begin{array} { c } x - 6 y = 39 \\4 x + 3 y = - 6\end{array} \right)$

Match the equation of the line with the point it contains and its slope. - $y = 9 x - 6$

Graph the linear equation. $x - 4 y = 0$

Find the equation for the graph.

Use the elimination-by-addition method to solve the system. $\left( \begin{array} { c } 12 x - 4 y = - 5 \\8 x + 2 y = - 1\end{array} \right)$

Match the equation of the line with the point it contains and its slope. - $y + 4 x = 9$

Solve the system by using the substitution method. $\left( \begin{array} { c } x - 6 y = 11 \\- 5 x + 4 y = - 3\end{array} \right)$

Match the following inequalities with the corresponding graph. -

A line is determined by the pair of points, $( 3,8 )$ and $( 8,3 )$ . Is the slope of the line positive, negative, zero, or undefined?

Decide which of the given ordered pairs is a solution of the given system of equations. $\left( \begin{array} { l } x + y = 2 \\x - y = 6\end{array} \right)$

Solve the system by using the substitution method. $\left( \begin{array} { l } 7 x - 2 y = 26 \\x = 2 y - 4\end{array} \right)$

Determine the slope of the line 2 x - 5 y = -1.

Find the slope of the line determined by this pair of points. (5, 3), (15, 6)

Find the equation of the line that contains the two given points. Express the equation in the form $A x + B y = C$ , where A , B , and C are integers. (5, 3), (7, 10)

Use the elimination-by-addition method to solve the system. $\left( \begin{array} { c } 4 x + 6 y = - 8 \\8 x - 6 y = 92\end{array} \right)$

Some Basic Concepts of Arithmetic and Algebra

The Real Numbers

Equations, Inequalities and Problem Solving

Formulas and Problem Solving

Exponents and Polynomials

Factoring, Solving Equations and Problem Solving

A Transition From Elementary Algebra to Intermediate Algebra

Rational Expressions

Exponents and Radicals

Quadratic Equations and Inequalities

Coordinate Geometry: Lines, Parabolas, Circles, Ellipses and Hyperbolas

Functions

Exponential and Logarithmic Functions

Systems of Equations: Matrices and Determinants

Filters

Exam 5: Coordinate Geometry and Linear Systems

Decide which of the given ordered pairs is a solution of the given system of equations. (2x+y=122x−3y=−4)\left( \begin{array} { l } 2 x + y = 12 \\2 x - 3 y = - 4\end{array} \right)(2x+y=122x−3y=−4​)

Find the equation of the line that contains the two given points. Express the equation in the form Ax+By=CA x + B y = CAx+By=C , where A , B , and C are integers. (−2,0),(0,−5)( - 2,0 ) , ( 0 , - 5 )(−2,0),(0,−5)

Find y if the line through the points (20, 6) and (4, y ) has a slope of 94\frac { 9 } { 4 }49​ .

Write the equation of the line that satisfies the given condition: contains the origin and is perpendicular to the line 6 x + 9 y = 4. Simplify your answer as much as possible. Express the final equation in standard form.

What graph illustrates the inequality 4 x + 5 y < 3?

Use the elimination-by-addition method to solve the system. (x−6y=394x+3y=−6)\left( \begin{array} { c } x - 6 y = 39 \\4 x + 3 y = - 6\end{array} \right)(x−6y=394x+3y=−6​)

Match the equation of the line with the point it contains and its slope. - y=9x−6y = 9 x - 6y=9x−6

Graph the linear equation. x−4y=0x - 4 y = 0x−4y=0

Find the equation for the graph.

Use the elimination-by-addition method to solve the system. (12x−4y=−58x+2y=−1)\left( \begin{array} { c } 12 x - 4 y = - 5 \\8 x + 2 y = - 1\end{array} \right)(12x−4y=−58x+2y=−1​)

Match the equation of the line with the point it contains and its slope. - y+4x=9y + 4 x = 9y+4x=9

Solve the system by using the substitution method. (x−6y=11−5x+4y=−3)\left( \begin{array} { c } x - 6 y = 11 \\- 5 x + 4 y = - 3\end{array} \right)(x−6y=11−5x+4y=−3​)

Match the following inequalities with the corresponding graph. -

A line is determined by the pair of points, (3,8)( 3,8 )(3,8) and (8,3)( 8,3 )(8,3) . Is the slope of the line positive, negative, zero, or undefined?

Decide which of the given ordered pairs is a solution of the given system of equations. (x+y=2x−y=6)\left( \begin{array} { l } x + y = 2 \\x - y = 6\end{array} \right)(x+y=2x−y=6​)

Solve the system by using the substitution method. (7x−2y=26x=2y−4)\left( \begin{array} { l } 7 x - 2 y = 26 \\x = 2 y - 4\end{array} \right)(7x−2y=26x=2y−4​)

Determine the slope of the line 2 x - 5 y = -1.

Find the slope of the line determined by this pair of points. (5, 3), (15, 6)

Find the equation of the line that contains the two given points. Express the equation in the form Ax+By=CA x + B y = CAx+By=C , where A , B , and C are integers. (5, 3), (7, 10)

Use the elimination-by-addition method to solve the system. (4x+6y=−88x−6y=92)\left( \begin{array} { c } 4 x + 6 y = - 8 \\8 x - 6 y = 92\end{array} \right)(4x+6y=−88x−6y=92​)

Some Basic Concepts of Arithmetic and Algebra

The Real Numbers

Equations, Inequalities and Problem Solving

Formulas and Problem Solving

Exponents and Polynomials

Factoring, Solving Equations and Problem Solving

A Transition From Elementary Algebra to Intermediate Algebra

Rational Expressions

Exponents and Radicals

Quadratic Equations and Inequalities

Coordinate Geometry: Lines, Parabolas, Circles, Ellipses and Hyperbolas

Functions

Exponential and Logarithmic Functions

Systems of Equations: Matrices and Determinants

Filters

Decide which of the given ordered pairs is a solution of the given system of equations. $\left( \begin{array} { l } 2 x + y = 12 \\2 x - 3 y = - 4\end{array} \right)$

Find the equation of the line that contains the two given points. Express the equation in the form $A x + B y = C$ , where A , B , and C are integers. $( - 2,0 ) , ( 0 , - 5 )$

Find y if the line through the points (20, 6) and (4, y ) has a slope of $\frac { 9 } { 4 }$ .

Use the elimination-by-addition method to solve the system. $\left( \begin{array} { c } x - 6 y = 39 \\4 x + 3 y = - 6\end{array} \right)$

Match the equation of the line with the point it contains and its slope. - $y = 9 x - 6$

Graph the linear equation. $x - 4 y = 0$

Use the elimination-by-addition method to solve the system. $\left( \begin{array} { c } 12 x - 4 y = - 5 \\8 x + 2 y = - 1\end{array} \right)$

Match the equation of the line with the point it contains and its slope. - $y + 4 x = 9$

Solve the system by using the substitution method. $\left( \begin{array} { c } x - 6 y = 11 \\- 5 x + 4 y = - 3\end{array} \right)$

A line is determined by the pair of points, $( 3,8 )$ and $( 8,3 )$ . Is the slope of the line positive, negative, zero, or undefined?

Decide which of the given ordered pairs is a solution of the given system of equations. $\left( \begin{array} { l } x + y = 2 \\x - y = 6\end{array} \right)$

Solve the system by using the substitution method. $\left( \begin{array} { l } 7 x - 2 y = 26 \\x = 2 y - 4\end{array} \right)$

Find the equation of the line that contains the two given points. Express the equation in the form $A x + B y = C$ , where A , B , and C are integers. (5, 3), (7, 10)

Use the elimination-by-addition method to solve the system. $\left( \begin{array} { c } 4 x + 6 y = - 8 \\8 x - 6 y = 92\end{array} \right)$