Question

What is the slope of a line that includes the points (-5, 1) and (-2, 3).

Answer 1

Answer:

A

Step-by-step explanation:

Work with the two points

Formula

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

Givens

y2 = 3

y1 = 1

x2 = - 2

x1 = - 5

Solution

m = (3 - 1) / (-2 - - 5)

m = 2 / (-2 + 5)

m = 2 / 3

Answer: A

Answer 2

Answer:

$\large\boxed{\text{A.}\,2/3}$

Step-by-step explanation:

In this question ,we're trying to find the slope with the given points.

We would use the slope-formula to find the slope.

Slope-formula:

$m=\frac{y2-y1}{x2-x1}$

We would plug in the numbers to their right spots in the formula. The second y-coordinate going to y2, the second x coordinate going to x2, and etc.

Your equation should look like this:

$m=\frac{3-1}{-2-(-5)}$

Now we solve:

$m=\frac{3-1}{-2-(-5)} \\\\m=\frac{2}{-2-(-5)}\\\\\text{Carry the negative over to the 5, turning it to a positive 5}\\\\m=\frac{2}{-2+5}\\\\\text{Add the denominators}\\\\m=\frac{2}{3}$

When you're done solving, you should get 2/3

This means that the slope is 2/3

I hope this helped you out.

Good luck on your academics.

Have a fantastic day!