Question

Write the equation of the line in point-slope form that passes through the points

(
−
8
,
2
)
and
(
6
,
8
)
.

Answer 1

y -2 = 3/7(x +8)

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)