Answer:
y -2 = 3/7(x +8)
Step-by-step explanation:
You want a point-slope equation of the line through points (-8, 2) and (6, 8).
Slope
The slope of the line is given by the formula ...
m = (y2 -y1)/(x2 -x1) . . . . . . where (x1, y1) and (x2, y2) are points on the line
Using the given points, we find the slope to be ...
m = (8 -2)/(6 -(-8)) = 6/14 = 3/7
Point-slope equation
The equation of a line with slope m through point (h, k) is written in point-slope form as ...
y -k = m(x -h)
Here, we have m=3/7, and (h, k) = (-8, 2). This means the equation of the line is ...
y -2 = 3/7(x +8)
