Answer:
Step-by-step explanation:
Slope (m) =
ΔY
ΔX
=
7
8
= 0.875
θ =
arctan( ΔY ) + 180°
ΔX
= 221.18592516571°
ΔX = -10 – -2 = -8
ΔY = -9 – -2 = -7
Distance (d) = √ΔX2 + ΔY2 = √113 = 10.630145812735
Equation of the line:
y = 0.875x – 0.25
or
y =
7 x
8
– 1
4
When x=0, y = -0.25
When y=0, x = 0.28571428571429
We want to find the slope of the line that contains (-2, -2) and (-10, -9).
The correct option is D, 7/8.
A general linear equation is written as:
y = a*x + b
Where a is the slope and b is the y-intercept.
If we know that the line passes through two points (x₁, y₁) and (x₂, y₂), the slope is computed as:
[tex]a = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Here we have the two points (-2, -2) and (-10, -9).
Then the slope will be:
[tex]a = \frac{-9 - (-2)}{-10 -(-2)} = \frac{7}{8}[/tex]
So the slope is 7/8, meaning that the correct option is D.
If you want to learn more, you can read:
https://brainly.com/question/16180119
