Question

Find the slope of the line passing through the points, −3, −8, and, 5,6.

Answer 1

Slope is (7/4)

Explanation:

Let's use the point-slope format of a straight line equation:

y − y1 = m(x − x1)

(x, y) is (-3,-8)

(x1, y1) is (5,6)

y − y1 = m(x − x1)

-8 − (6) = m(-3 − 5)

-14 = m(-8)

m = (14/8 or (7/4)

The slope is (7/4)

b can be calculated by enter on e of the points in y = (7/4)x+ b and solve for b:

y = (7/4)x+ b

6 = (7/4)5+ b

6 = 35/4 + b

b = -2.75

See attached image.