What is the slope intercept form of the line passing through (4,-2) (4,2) with a slope of -1/3 13?

1 Answer
Dec 12, 2015

y=-1/3x-2/3y=13x23

Explanation:

The slope intercept form is

y=mx+by=mx+b

Where m is the slope and b is the y intercept
So you what m is because you are given the slope

m=-1/3m=13

So put that into the equation

y=-1/3x+by=13x+b

Now substitute the point you were given (4,-2)

-2=-1/3(4)+b2=13(4)+b

Solve for b

-2=-4/3+b2=43+b

-2+4/3=b2+43=b

b=-6/3+4/3b=63+43

b=-2/3b=23

Now put the b into the formula

y=-1/3x-2/3y=13x23