Exam 3: Graphs of Linear Equations

Solve the problem. -Let $y=-11 x+206$ represent the number of students present in a large class, where $x$ represents the number of hours of study required weekly. What is the rate of change of the number of students in the class with respect to the number of hours of study?

Graph. - $y=-\frac{8}{3}$

Plot the ordered pairs on the rectangular coordinate system provided - $\mathrm{A}(0,-4), \mathrm{B}(0,5)$

Find the coordinates of the $y$ -intercept and the $x$ -intercept, in that order. - $x+y=-5$

Show that the two ordered pairs are solutions to the given equation. Then use the graph of the two points to determine another solution. Answers may vary. - $y=x+3 ;(2,5),(-4,-1)$

Find the coordinates of the $y$ -intercept and the coordinates of the $x$ -intercept. -

Find the coordinates of the $y$ -intercept and the coordinates of the $x$ -intercept. -

Graph the linear equation. - $-7 x+y=0$

Find the slope of the line. -

Show that the two ordered pairs are solutions to the given equation. Then use the graph of the two points to determine another solution. Answers may vary. - $y=\frac{1}{2} x+4 ;(4,6),(-2,3)$

Solve the problem. -The value $V$ , in dollars, of a shopkeeper's inventory software program is given by $V=-20 t+200$ , where $t$ is the number of years since the shopkeeper first bought the program. After how many years is the value of the software $\$ 120$ ?

List the quadrant(s) in which the given point is located. - $(-20,19)$

Show that the two ordered pairs are solutions to the given equation. Then use the graph of the two points to determine another solution. Answers may vary. - $y=\frac{1}{2} x-4 ;(4,-2),(-2,-5)$

Find the slope of the line going through the pair of points. - $(3,0),(0,6)$

Find an equation of the line with the given slope and $y$ -intercept. -Slope $=-9, y$ - intercept $=(0,-56)$

Plot the ordered pairs on the rectangular coordinate system provided - $\mathrm{A}(-2,-3), \mathrm{B}(-5,1)$

Find the coordinates of the $y$ -intercept and the $x$ -intercept, in that order. - $2 x+y=4$

Determine whether the graphs of the equations are parallel lines, perpendicular lines, or neither. - $3 \mathrm{x}=16$ $6 y=16$

Find an equation of the line that contains the given pair of points. Write the equation in the form $\mathbf{y}=\mathbf{m x}+\mathbf{b}$ . - $(8,-2)$ and $(0,5)$

Show that the two ordered pairs are solutions to the given equation. Then use the graph of the two points to determine another solution. Answers may vary. - $x+2 y=8$ ; $(4,2),(-4,6)$