Hi Angie,
The easiest way to find intercepts is to set one of the variables equal to 0.
To find the y-intercept, set x=0 and solve for y.
To find the x-intercept, set y=0 and solve for x.
Let's do that.
6x-2y=-24
Find the y-intercept
Let x = 0
6(0) - 2y = -24
-2y=-24
divide both sides by -2 and
y = 12
So the y-intercept is the point (0,12)
Find the x-intercept
Let y = 0
6x - 2(0) = -24
6x=-24
divide both sides by 6 and
x = -4
So the x-intercept is the point (-4,0)
Let y = 0
6x - 2(0) = -24
6x=-24
divide both sides by 6 and
x = -4
So the x-intercept is the point (-4,0)
I hope this helps.