Question

What is the slope that passes through the points (1,-3) and (4,2)

Answer 1

y = 5/3x - 14/3

Explanation:

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

Using (1,-3) and (4,2)

m = (2 - -3)/(4 - 1)

m = 5/3

Slope-intercept: y = mx + b

using (4,2)

2 = 5/3(4) + b

2 = 20/3 + b

b = 2 - 20/3 = 6/3 - 20/3 = -14/3

y = 5/3x - 14/3