Find the slope intercept form of the equation of a line with the given slope that passes through the given point. slope -1,through (-6,-3)

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# 1 Answer

The first thing you need to do is remember what slope intercept form is.

y=mx+b

m= slope

b= y-intercept

You are given that the slope is -1. We can plug that into the equation giving us:

y= -1x+b

We are also given a point that our line goes through. (-6, -3). Now this is a x value and a y value. (x, Y).

We can use this point to help us find b.

-3= -1(-6)+b

Now we can solve for b.

-3= 6+b

Subtract six from both sides to get b by itself giving us:

-9= b

Now we can plug our value of b into our equation:

y= -x-9

This is your slope intercept form equation.

Hope this helps!