Question

Graph the segment that connects the points A(-4, 8) and B(6, 3). What is the slope of AB? What is the y-intercept?

a) Slope of AB = -0.5, y-intercept = 5
b) Slope of AB = -1.0, y-intercept = 2
c) Slope of AB = 0.5, y-intercept = 5
d) Slope of AB = 1.0, y-intercept = 2

Answer 1

The calculated slope of AB is -0.5 and the y-intercept is 6

How to determine the slope of AB and the y-intercept?

From the question, we have the following parameters that can be used in our computation:

A(-4, 8) and B(6, 3).

The slope of AB is calculated as

Slope = Change in y/x

So, we have

Slope of AB = (3 - 8)/(6 + 4)

Evaluate

Slope of AB = -0.5

A linear equation is represented as

y = mx + c

Where

m = slope

c = y-intercept

So, we have

y = -0.5x + c

Using the points, we have

8 = -0.5 * -4 + c

8 = 2 + c

Evaluate

c = 6

Hence, the y-intercept is 6