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

Answer:
Equation of the line is:
y = 1.2x + 3.2

Explanation:
The general form of the linear equation is:
y = mx + c 
where:
m is the slope
c is the y-intercept

1- getting the slope:
The slope of the line can be calculated using the following formula:
m = $\frac{y2 - y1}{x2 - x1}$

We are given the points:
(-6,-4) representing (x1,y1)
(4,8) representing (x2,y2)
Substitute with the given points in the above equation to get the slope as follows:
m = $\frac{8--4}{4--6} = 6/5$

The equation of the line now is:
y = 1.2x + c

2- getting the y-intercept:
To get the value of the c, we will use any of the given points, substitute in the equation and solve for c.
I will use the point (4,8) as follows:
y = 1.2 x + c
8 = 1.2(4) + c
c = 16/5 = 3.2

Therefore, the equation of the line is:
y = 1.2x + 3.2

Hope this helps :)