Question

What is the slope of the graph? Leave your answer as a reduced fraction.

Slope =

Identify the y-intercept. Write as a coordinate.

y-intercept =

Write an equation in slope-intercept form for the graph above.

y=

Answer 1

slope = -2

y-intercept = (0,2)

y = -2x + 2

Explanation:

In order to find the slope, we must use the formula y2-y1/x2 - x1. But in order to do so, we will have to find two perfect points.

perfect point #1: (-2,6)

perfect point #2: (2, -2)

Now, we simply input the corresponding points into our formula.

-2 - 6 = -8

2 - (-2) = 4

-8/4 = -2

So, the slope of the graph is -2

In order to find the y-intercept we must look at where the line intersects in the y axis. Looking back at our graph, we can determine that the line intersects at (0,2)

The slope-intercept form is y = mx + b, m represents the slope and b represents the y intercept. Therefore after inputting the slope and y-intercept we should get y = -2x + 2