Question

Determine the slope and y-intercept of a line that passes through the points (2, 4) and (–4, 1).

m = [ A. –2.5 , B. –1.5 , C. 0.5 ]
b = [ A. 3, B. 7, C. 9 ]

Answer 1

• m = [C. 0.5]
• b = [A. 3]

Explanation:

Slope- intercept form:

• y = mx + b, where m is the slope, b is the y-intercept

Given points:

• (2, 4) and (-4, 1)

The slope is:

• m = (1 - 4)/(- 4 - 2) = - 3/ - 6 = 1/2 = 0.5

Use point (2, 4) to find the value of the y-intercept:

• y = mx + b
• 4 = 0.5*2 + b
• b = 4 - 1
• b = 3