Question

What are the slope, m, and the y-intercept, B, of a line that pases through the points (-2,1)and (8,-5)?

A. m=-5/3 and b=-7/3
B. m=-3/5 and b=-1/5
C. m=-3/5 and b=11/5
D. m=5/3 and b=13/3​

Answer 1

Explanation:

`m \: = \: -3/5 \: and \: b \: = \: -1/5`

Answer 2

• B. m= -3/5 and b= -1/5

Explanation:

Given points:

• (-2, 1) and (8, -5)

Slope is:

• m = (y2 - y1)/(x2 - x1)
• m = (-5 - 1)/(8 - (-2)) = -6/10 = -3/5
• m = -3/5

Use formula y = mx + b, substitute x = -2, y = 1, m = -3/5, find y-intercept b:

• 1 = (-3/5)*(-2) + b
• 1 = 6/5 + b
• b = 1 - 6/5
• b = - 1/5

Correct option is B.