Question

Find the slope of the line through the points (-3,1) and (-1,5).

Answer 1

The slope is 2

Step-by-step explanation:

(-3,1)

+2 ——> (-1,5) <—— +4

m = y/x —> 4/2 —> 2

m = 2

Answer 2

`\boxed {\boxed {\sf m=2}}`

Explanation:

The formula for slope is:

`m= \frac {y_2-y_1}{x_2-x_1}`

where (x₁, y₁) and (x₂, y₂) are the points on the line.

We are given the points (-3,1) and (-1,5). Therefore,

`x_1= -3 \\y_1= 1 \\x_2= -1 \\y_2=5`

Substitute the values into the formula.

`m= \frac {5-1}{-1--3}`

Solve the numerator.

`m= (4)/(-1--3)`

Solve the denominator.

• -1 --3= -1+3 =2

`m=(4)/(2) \\`

Divide.

`m=2`

The slope of the line is 2.