Graph the linear equation. find three points that solve the equation, then plot on the graph. 3x - 4y = -18

Write the equation in slope-intercept form y = mx + b , where m is slope and b is y -intercept.
The equation is 3x - 4y = -18
Subtract 3x from each side.
-4y = - 3x - 18
Divide each side by negitive 4.
y = - 3x/-4 -18/-4
y = 3x/4 + 4.5
Compare the equation with slope-intercept form y = mx + b .
slope = 3/4 and y -intercept is 4.5.
y -intercept is 4.5, so the line crosses the y -axis at (0, 4.5)
Using slope find the next points.
Slope = rise/run = 3/4
Slope = 3/4 and y -intercept is 4.5.
Start at point (0 , 4.5), move 3 units up and 4 units right, then plot the point (4 , 7.5).
To find third point
Slope = rise/run = -3/-4
Slope = -3/-4 and y -intercept is 4.5.
Start at point (0 , 4.5), move 3 units down and 4 units left, then plot the point (-4 , 1.5).

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