Question

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

Answer 1

Answer:

The slope is 2

Step-by-step explanation:

(-3,1)

+2 ——> (-1,5) <—— +4

m = y/x —> 4/2 —> 2

m = 2

Answer 2

Answer:

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

Step-by-step 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.

$m= \frac{4}{-1--3}$

Solve the denominator.

• -1 --3= -1+3 =2

$m=\frac{4}{2}$

Divide.

$m=2$

The slope of the line is 2.