1

Problem

Find the slope of the line joining the points (-4, -4) and (1, 6).

2

Step

Given, \$(x_1, y_1)\$ and \$(x_2, y_2)\$ are the coordinates of the two points

(-4, -4) & (1, 6)

3

Formula

To find the slope (m) of the line joining two points \$(x_1, y_1)\$ & \$(x_2, y_2)\$, you can use the formula: m = \$(y_2 - y_1)/(x_2 - x_1)\$.

4

Step

Substitute the values into the slope formula:

m = \$(6 - (-4))/(1 - (-4)\$

5

Step

Calculate the slope(m)

m = \$(6 + 4)/(1 +4)\$

\$m = (\cancel(10))/(\cancel(5))\$

m = 2

6

Solution

So, the slope of the line joining the points(-4, -4) &(1, 6) is 2.

7

Sumup

Please summarize steps

Choices

8

Choice-A

this option is incorrect, as the slope is 2

Wrong 0

9

Choice-B

this option is correct, as the slope is indeed 2

Correct 2

10

Choice-C

this option is incorrect, as the slope is 2

Wrong 3

11

Choice-D

this option is incorrect, as the slope is 2

Wrong 1

12

Answer

Option

B

13

Sumup

Please summarize choices