The slope the line that passes through the given points is [tex]\bold{\frac{-3}{4}}[/tex]
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 [tex]\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}}}[/tex]
Here, in our problem, [tex]x_{1}=-4; y_{1}=5 \text { and } x_{2}=8; y_{2}=-3[/tex]
Now, slope [tex]\bold{m=\frac{-3-5}{8-(-4)}=\frac{-8}{8+4}=\frac{-8}{12}=\frac{-3}{4}}[/tex]
Hence, the slope is [tex]\frac{-3}{4}[/tex]
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 [tex](x_1, y_1)[/tex] and the other to be [tex](x_2, y_2)[/tex]
- Step Three: Use the slope equation to calculate slope.
