Question

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

Select one:A.2/3 b.-2/7 c.-2/3 d.3/2

Answer 1

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

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

Now we solve:

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

Answer 2

A

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