Question

What is the slope of the line that passes through the points (10, 2)(10,2) and (19, 14) ?(19,14)? Write your answer in simplest form.

Answer 1

y = 4/3x - 34/3

Explanation:

Slope m = (y2-y1)/(x2-x1)

using (10,2) and (19,14)

m = (14 - 2)/(19 - 10)

m = 12/9

m = 4/3

Slope-intercept: y = mx + b

using (10,2)

2 = 4/3(10) + b

2 = 40/3 + b

b = 2 - 40/3 = 6/3 - 40/3 = -34/3

y = 4/3x - 34/3