Question

Question #3fef9

Answer 1

`y=6/7x+6`

Explanation:

Note that with any two points, you can find the equation of the line passing through two points.

Anyway, we will use slope-intercept form (`y=mx+b`) here, as it is the most convenient in this instance.

To find the slope between any two points, we write `(Deltay)/(Deltax)`, which in this case is:

`(6-0)/(0-(-7))=6/7`

Okay. Our slope (`m`) is `6/7`. Since the y-intercept of a line is the point where `x=0`, we know that the y-intercept is the given point:

`(0,6)`

Therefore, `b=6`.

Our equation is:

`y=6/7x+6`

You could rearrange that to put it in different forms, if necessary.