Exam 9: Graphs of Linear Equations

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. - $y=x-5 ;(6,1),(1,-4)$

Graph the linear equation. - $y=\frac{1}{4} x+\frac{1}{2}$

Find the slope of the line. - $2 x+5 y=21$

Solve the problem. -The value $\mathrm{V}$ , in dollars, of a shopkeeper's inventory software program is given by $\mathrm{V}=-20 \mathrm{t}+350$ , where $t$ is the number of years since the shopkeeper first bought the program. Find the value of the software after 0 years, 4 years, and 10 years.

Graph the linear equation. - $-8 x+y=0$

Find an equation of the line that contains the given pair of points. Write the equation in the form $y=m x+b$ . - $(2,-2)$ and $(-10,-2)$

Find an equation of the line containing the given point and having the given slope. Write the equation in slope-intercept form. - $(0,3), \mathrm{m}=-\frac{3}{7}$

Graph the line containing the given pair of points and find the slope. - $(-2,0)(0,-1)$

Find the coordinates of the $y$ -intercept for the given equation. - $y=9 x-7$

Find the slope of the line going through the pair of points. - $\left(\frac{1}{3},-3\right),\left(\frac{1}{2}, 4\right)$

Determine whether the given ordered pair is a solution of the equation. - $2 x-2 y=18 ;(4,5)$

Determine whether the graphs of the equations are parallel lines, perpendicular lines, or neither. - $6 x+2 y=8$ $12 x+4 y=18$

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

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

Find an equation of the line containing the given point and having the given slope. Write the equation in slope-intercept form. - $(0,3), \mathrm{m}=\frac{2}{5}$

Find the coordinates of the $y$ -intercept and the $x$ -intercept, in that order. - $7 y-11=3 x$

Plot the ordered pairs on the rectangular coordinate system provided. - $\mathrm{A}(-3,-6), \mathrm{B}(-5,3)$

Find the slope of the line. -

Find an equation of the line with the given slope and $y$ -intercept. -Slope $=3, y$ -intercept $=(0,0)$

Find the slope and the $y$ -intercept of the line. - $y=-8 x-5$