Question

Find the slope of the line that passes through the points (-2,3) and (2,7)

Answer 1

`\large\boxed{(1)/(1)\,\text{or}\,1}`

Explanation:

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

To find the slope, we're going to need to sue the slope formula.

Slope formula:

`\text{Slope}=(y2-y1)/(x2-x1)`

You would plug in the coordinates to its right spot.

Plug in -2 to x1, 3 in y1, 2 in x2, and 7 in y2.

Your equation should look like this:

`\text{Slope}=(7-3)/(2-(-2))`

Now, you will solve:

`\text{Slope}=(7-3)/(2-(-2))\\\\\text{Slope}=(4)/(2-(-2))\\\\\text{Carry the minus sign over to the -2, turning it to a positive 2}\\\\\text{Slope}=(4)/(2+2)\\\\\text{Slope}=(4)/(4)\\\\\text{Divide}\\\\\text{Slope}=(1)/(1)=1`

When you're done solving, you should get 1.

This means that the slope of the line is 1/1 or 1

I hope this helped you out.

Good luck on your academics.

Have a fantastic day!

Answer 2

Finding the slope using two points:

The formula for slope is

`(y_(2)-y_(1))/(x_(2)-x_(1))`

In this case...

`y_(2) =7\\y_(1) =3\\x_(2) =2\\x_(1) =-2`

^^^Plug these numbers into the formula for slope...

`(7-3)/(2 - (-2))`

`(4)/(4)`

^^^This can be further simplified down to...

1

^^^This is your slope

Hope this helped!

~Just a girl in love with Shawn Mendes