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

Hello there.

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

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

Answer 2

To write the equation of a line in slope-intercept form, the slope and one point on the line are needed. The slope of GE can be calculated with rise over run:
( y1 - y2 ) / ( x1 - x2 )
In this case, I calculated it to be 12/10, or 6/5
Next, we choose a point to use in our formula. I'll use point E since it does not have any negative signs.
The final slope-intercept equation is then:
y - 8 = 6/5 * ( x - 4 )