Question

Find the slope of the line running through these two points (-4,5) and (8,-3)

Answer 1

Answer:

The slope is

$\frac{-3-5}{8-(-4)} =\frac{-8}{8+4} =\frac{-8}{12} =-\frac{2}{3}$

Step-by-step explanation:

Answer 2

The slope the line that passes through the given points is $\bold{\frac{-3}{4}}$

SOLUTION:

Given, two points are (- 4, 5) and (8, -3). We have to find the slope of a line that passes through the above given two points.

We know that, slope of a line that pass through $\bold{(x_1, y_1) \text{ and } (x_2, y_2) \text{ is given by } \mathrm{m}=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}}$

Here, in our problem, $x_{1}=-4; y_{1}=5 \text { and } x_{2}=8; y_{2}=-3$

Now, slope $\bold{m=\frac{-3-5}{8-(-4)}=\frac{-8}{8+4}=\frac{-8}{12}=\frac{-3}{4}}$

Hence, the slope is $\frac{-3}{4}$

The following are the steps in calculating the slope of a straight line:

• Step One: Identify two points on the line.

• Step Two: Select one to be $(x_1, y_1)$ and the other to be $(x_2, y_2)$

• Step Three: Use the slope equation to calculate slope.