Question

Find the slope of the line on the graph.

Answer 1

Answer is -3
Explain
Rise over run can be found two ways
(1) from the y intercept, count the rise (-6) over the x value (2), so -6/2 = -3
(2) you can chose the two points on the line and subtract y2 - y1 over x2 - x1
Points (2, -2) and (0, 4)
Subtract
2, -2
0, 4
_____
2, -6
Put y over x
-6/2 = -3
I did a print screen of this hope it helps

Answer 2

Answer:

-3

Step-by-step explanation:

Define two points on the line:

• $\textsf{let}\:(x_1,y_1)=(0,4)$

• $\textsf{let}\:(x_2,y_2)=(2,-2)$

Substitute the defined points into the slope formula and solve for m:

$\begin{aligned} \textsf{slope}\:(m) & = \dfrac{y_2-y_1}{x_2-x_1}\\\\ \implies m & =\dfrac{-2-4}{2-0}\\\\ & =\dfrac{-6}{2}\\\\ & =-3\end{aligned}$

Therefore the slope of the given line is -3.