Question

How do you graph using the intercepts for `3x - 2y = -15`?

Answer 1

`color(blue)(" x-intercept " = -5" y-intercept " = 15/2`

Explanation:

`3x - 2y = -15`

When y = 0, " x-intercept " x = -15/3 = -5#

`:. (x_1, y_1) = ((-5,0)`

Likewise, when x = 0, " y-intercept " y = 15/2#

`:. (x_2, y_2) = (0, -15/2)`

Knowing two points, we can plot the graph.

graph{(3/2)x + (15/2) [-10, 10, -5, 5]}