Web Analytics
Answered

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

Verified Answer :

MiggzAnaya

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

cerverusdante

Answer

The slope of the line running through coordinates (-2, 3) and coordinates (2, 6) is \(\frac{3}{4}\)

Explanation

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

\(m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\)

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:

\(m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\)

\(m=\frac{6-3}{2-(-2)}\)

\(m=\frac{3}{2+2}\)

\(m=\frac{3}{4}\)

We can conclude that the slope of our line is \(\frac{3}{4}\).

Related Questions