Question

The endpoints of GE are located at G(-6,-4) , and E(4,8). Using slope-intercept form, write the equation of GE.

Answer 1

The line would be y = 6/5x + 26/5

Explanation:

To find the equation, we first need to find the slope. We can do this by using the slope formula.

m(slope) = (y2 - y1)/(x2 - x1)

m = (8 - -4)/(4 - -6)

m = 12/10

m = 6/5

Now that we have the slope, we can use that and either point in point-slope form to get the equation.

y - y1 = m(x - x1)

y - 8 = 6/5(x - 4)

y - 8 = 6/5x - 24/5

y = 6/5x + 26/5