Question

What is the slope of the line graphed on the coordinate plane?

A graph with a line running through coordinates (-2, 3) and coordinates (2, 6)

PLS HELP MEH TAKING BIG MATH TEST NEED HELP

Answer 1

The slope of a line running through points (-2,3) and (2,6) would be 3/4.

Answer 2

The slope of the line running through coordinates (-2, 3) and coordinates (2, 6) is
`(3)/(4)`

Step-by-step explanation

To get the slope of our line, we are going to use the slope formula:

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

where

`m` is the slope of the line

`(x_(1),y_(1))` are the coordinates of the first point on the line

`(x_(2),y_(2))` are the coordinates of the second point

We know that our first point is (-2, 3), so
`x_(1)=-2` and
`y_(1)=3`. We also know that our second point is (2, 6), so
`x_(2)=2` and
`y_(2)=6`. Now let's replace the values in our slope formula:

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

`m=(6-3)/(2-(-2))`

`m=(3)/(2+2)`

`m=(3)/(4)`

We can conclude that the slope of our line is
`(3)/(4)`.