Respuesta :
Answer:
The slope is [tex]\frac{4}{3}[/tex]
Step-by-step explanation:
Hi there!
We are given the points (8, -8) and (5,-12)
We want to find the slope of the line passing through these two points
We can calculate the slope (m) from 2 points by using the formula [tex]\frac{y_2-y_1}{x_2-x_1}[/tex], where [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] are points
We have everything we need to find the slope, but let's label the values of the points to avoid confusion and mistakes
[tex]x_1=8\\y_1=-8\\x_2=5\\y_2=-12[/tex]
Substitute these values into the formula
m=[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
m=[tex]\frac{-12--8}{5-8}[/tex]
Simplify
m=[tex]\frac{-12+8}{5-8}[/tex]
Add/subtract the numbers together.
m=[tex]\frac{-4}{-3}[/tex]
Simplify
m=[tex]\frac{4}{3}[/tex]
The slope of the line is [tex]\frac{4}{3}[/tex]
Hope this helps!
See more on calculating the slope from 2 points here: https://brainly.com/question/19151479
We need to find the slope between two points (8,-8) and (5,-12) . But , let's Recall the slope formula that we have ,the slope between any two points let they be [tex]{\bf{(x_1 , y_1)}}[/tex] and [tex]{\bf{x_2 , y_2)}}[/tex] is denoted by m and is given by :
- [tex]{\boxed{\bf{m=\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}}}}[/tex]
Now , applying the same concept in our question :
[tex]{:\implies \quad \sf m=\dfrac{-12-(-8)}{5-8}}[/tex]
[tex]{:\implies \quad \sf m=\dfrac{-12+8}{-3}}[/tex]
[tex]{:\implies \quad \sf m=\dfrac{-4}{-3}}[/tex]
[tex]{:\implies \quad \bf \therefore \quad \underline{\underline{Slope=\dfrac43}}}[/tex]
