Exam 5: Coordinate Geometry and Linear Systems

The grade of a highway up a hill is 37%. How much change in horizontal distance is there if the vertical height of the hill is 100 feet? Express the answer to the nearest foot. __________ feet

Graph the linear equation. $x = 3 y$

Write the equation of the line that satisfies the given condition: contains the point (-8, 8) and is parallel to the y axis. Simplify your answer as much as possible. Express the final equation in standard form.

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. $( 4,2 ) , ( 5,11 )$

What inequality is illustrated below?

A solid line on the graph indicates that the points on the line satisfy the inequality.

Solve the system by using the substitution method. $\left( \begin{array} { c } y = \frac { 1 } { 5 } x - 3 \\4 x + 5 y = - 9\end{array} \right)$ Please enter your answer as an ordered pair in the form ( x , y ).

Graph the linear equation. $y = \frac { 1 } { 4 } x + 4$

Graph the linear equation. $- x + y = 5$

Use the graphing method to solve the system. $\left( \begin{array} { l } y = 4 x \\7 x - 2 y = - 4\end{array} \right)$

Find the equation of the line that contains the given point and has the given slope. Express the equation in the form $A x + B y = C$ , where A , B , and C are integers. $( 0,0 ) , m = \frac { 2 } { 11 }$

David is studying the monthly percent changes in the corn prices for two different markets. Using the data in the table below, plot the points for each month. Let the percent change for BMF be the first number of the ordered pair, and let the percent change for ELCM be the second number in the ordered pair. Jan. Feb. Mar. Apr. May. Jun. BMF $1$ $- 2$ $- 1$ $4$ $- 3$ $0$ ELCM $- 3$ $4$ $1$ $- 2$ $- 5$ $5$

Match the equation of the line with the point it contains and its slope. - $- 2 x + 7 y = 8$

Graph the linear equation. $y = - 2 x - 3$

The coordinate axes do not have to be labeled x axis and y axis.

Find the equation of the line with the given slope and y -intercept. Express the final equation in slope-intercept form. $m = - \frac { 5 } { 3 } , b = - 7$

Use the graphing method to solve the system. $\left( \begin{array} { l } 7 x - 2 y = - 8 \\x = - 4\end{array} \right)$

Indicate the solution set for the system of linear inequalities by shading the appropriate region. $\left( \begin{array} { l } x - 5 y < 2 \\4 x + y > 4\end{array} \right)$

Indicate the solution set for the system of linear inequalities by shading the appropriate region. $\left( \begin{array} { l } y > - \frac { 1 } { 3 } x - 1 \\y > - \frac { 1 } { 3 } x + 2\end{array} \right)$

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. $( 13 , - 3 ) , ( - 8,4 )$