Question

Find the slope of the line that passes through the points (5,2) and (6,10).

A. slope= 1/8
B. slope= 8
C. slope= -1/8
D. slope = -8

Answer 1

B

Explanation:

To find the slope between any two points, we can use the slope formula:

`\displaystyle m=(y_2-y_1)/(x_2-x_1)`

Where (x₁, y₁) and (x₂, y₂) are our two points.

So, let’s let (5, 2) be (x₁, y₁) and let (6, 10) be (x₂, y₂).

Substitute them into the slope formula to acquire:

`\displaystyle m=(10-2)/(6-5)`

Subtract and simplify:

`\displaystyle m=(8)/(1)=8`

Therefore, our slope is 8.

So, our answer is B.