Answer:
The slope is [tex]\frac{4}{5}[/tex]
Step-by-step explanation:
Hi there!
We are given the points (-1, -1) and (-6, -5).
We want to find the slope between them.
We can use the slope formula for this, which is [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 do have two points, which is what we need to find the slope, but let's label their values to avoid any confusion.
[tex]x_1=-1\\y_1=-1\\x_2=-6\\y_2=-5[/tex]
Now substitute those values into the slope formula (m is the slope, and remember: the formula contains SUBTRACTION, even though we have negative numbers):
m=[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
m=[tex]\frac{-5--1}{-6--1}[/tex]
Simplify:
m=[tex]\frac{-5+1}{-6+1}[/tex]
m=[tex]\frac{-4}{-5}[/tex]
Divide again:
m=[tex]\frac{4}{5}[/tex]
The slope is [tex]\frac{4}{5}[/tex]
Hope this helps!
