Question

Find the slope of the line on the graph.

Write your answer as a fraction or a whole
number, not a mixed number or decimal.

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

-3

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) & = (y_2-y_1)/(x_2-x_1)\\\\ \implies m & =(-2-4)/(2-0)\\\\ & =(-6)/(2)\\\\ & =-3\end{aligned}`

Therefore the slope of the given line is -3.