Question

Use the interactive to graph a line with the given points: (–1,7) and (1,–1) The coordinates of the y-intercept of the line are.

Answer 1

The y-intercept would be 6.25

Explanation:

I found this by taking the two points and making it into a y = mx + b line.

Answer 2

(0,3)

Explanation:

We can use the slope-intercept form to find the y-intercept.

First, we need to find the slope of the line.

We are given the points (-1,7) and (1,-1).

`m=(rise)/(run)=(-1-7)/(1+1)=(-8)/(2)=-4`

The slope is -4.

Slope-intercept is
`y=mx+b`.

We can replace 'y' and 'x' with one of the points given, 'm' with the slope, and solve for 'b'. "B" would be the y-intercept.

I will use (-1,7):

`7=-4(-1)+b\\\\7=4+b\\\\7-4=4-4+b\\\\\boxed{3=b}`

The line's equation is
`y=-4x+3`.

Therefore, the y-intercept is '3'. The coordinates of the y-intercept is (0,3).