Question

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

Answer 1

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).

Draw a line through these points.

Graph :