Question #3fef9

1 Answer
Dec 20, 2017

#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.