Question

If a line passes through the points (−6,−8) and (−2,3), what is the slope of the line? Select one:

a. −2.75
b. 364
c. None of the choice is correct
d. 2.75
e. −364

Answer 1

d. 2.75

Explanation:

Given two points that lie on a line, we can find the slope of the line using the slope formula, which is given by:

m = (y2 - y1) / (x2 - x1), where

• m is the slope,
• (x1, y1) is one point on the line,
• and (x2, y2) is another point.

Thus, we can plug in (-6, -8) for (x1, y1) and (-2, 3) for (x2, y2) in the slope formula to find m, the slope of the line passing through these points:

m = (3 - (-8)) / (-2 - (-6))

m = (3 + 8) / (-2 + 6)

m = 11/4

m = 2.75

Thus, the slope of the line passing through the points (-6, -8) and (-2, 3) is 2.75, so the correct answer is d.

Answer 2

m = 2.75

Explanation:

The question is asking us to find the slope of the line, given two points.

To find the slope, I am going to use the slope formula:

`\boldsymbol{m=(y_2-y_1)/(x_2-x_1)}`

Plug in the data:

`\boldsymbol{m=(3-(-8))/(-2-(-6))}`

Simplify:

`\boldsymbol{m=(3+8)/(-2+6)}`

`\boldsymbol{m=(11)/(4)}`

`\boldsymbol{m=2.75}`

Therefore, the slope is 2.75.