Question

What are the y-intercept and the slope of the line represented in the graph?

A.
y-intercept = -4 and slope = -2
B.
y-intercept = 4 and slope = -2
C.
y-intercept = 2 and slope = 4
D.
y-intercept = 4 and slope = -4

Answer 1

the correct answer is B. y-intercept = 4 and slope = -2

the y intercept is just where the line crosses the y axis and you can clearly see that happens at +4

The slope = Rise/run which in this case = -2

Answer 2

y-intercept = 4 and slope = -2

Explanation:

Y intercept is a point where the graph crosses y axis

The graph crosses the y axis at 4

So y intercept is 4

y intercept = 4

To find out slope , lets pick two points from the graph and apply slope formula (0,4) and (2,0)

`slope =(y_2-y_1)/(x_2-x_1)`

x1= 0 , x=2, y1=4, y2=0

`slope =(0-4)/(2-0)=-2`

slope= -2

y-intercept = 4 and slope = -2