How to graph

Question

-3x+2y=-6?

Answer 1

The equation is - 3x + 2y = - 6

Write the equation in slope-intercept form y = mx + b, where m is slope and b is y-intercept.

2y = 3x - 6

y =  3x/2 - 3

Compare the equation with slope-intercept form y = mx + b.

slope = 3/2 and y-intercept is - 3.

y-intercept is - 3, so the line crosses the y-axis at (0, - 3)

Using slope find the next point.

Slope = rise/run = 3/2

Start at point (0, - 3), move 3 units up and 2 units right, then plot the point (2, 0).

Draw a line through these points.

Graph :