Question

Graph x+3y=-6 using the x and y-intercepts.

Answer 1

use points (0, -2) and (-6, 0)

Explanation:

set up the equation in y-intercept form

x + 3y = -6

3y = -x - 6; divide by 3

y =
`(-1)/(3)` x - 2; you can the y-intercept is -2 or (0, -2)

Now to find where the graph cross the x-axis at y=0

0 =
`(-1)/(3)` x - 2; move the 2 to the other side

2 =
`(-1)/(3)` x ; multiply by -3

-6 = x; which is point (-6,0)