The line through (6, 1) and (-3, 5) in slope intercept form

y=-4/9x+11/3

Step-by-step explanation:

Reminder: slope intercept form is y=mx+b where m= slope and b=y intercept

Two points are given; (6,1) and (-3,5)

First, find the slope

Reminder: slope is y2-y1/x2-x1

You can plug the numbers given into the equation to get 5-1/-3-6 which equals 4/-9

Now, we can use slope point form which is y-y1=m(x-x1)

Once again, plugging the numbers in (any one of the two points will work) will get

y-1=4/-9(x-6)

Simplifying it will get y=-4/9x+11/3.

First Step:

Divide both sides by 6x.