Question

What is the equation of the line?
A.y=-4x
B.y=-1/4x
C. y=4x
D.y=1/4x
https://static.k12.com/calms_media/media/1503500_1504000/1503771/1/64e2c3dfaee822431bec0dedd158dfbf4595a00e/MS_IMC-140523-131302.jpg

Answer 1

Heyy, remember that slope is rise over run! Can you tell me what the slope of the line is?

Answer 2

Hint: It will be negative because the line is decreasing.

Answer 3

step one, draw a triangle on the graph, make sure the triangle is connecting to the line

Answer 4

step two, calculate the length of the side of the triangle along the y axis, and then calculate the length of the side on the x axis

you can see that the length along the y axis is 2
the length along the x axis is 8

Answer 5

step three, the slope is equal to y/x
so y=2, x=8
2/8=1/4

Answer 6

what is the answer?

Answer 7

step four, look at the graph. As you move along the x axis, towards the positive side, the line is going down towards the negative y.
hence the slope is going to be negative

so we had the slope to be 1/4, but since it is decreasing as we increase x, it is negative so the slope is

-1/4

Answer 8

step five, note the standard form for a line

y=mx+b

m is the slope, b is the y intercept

the y intercept is where the line goes through on the y axis

Answer 9

you can finish this