SOLUTION: How do I Figure this out? Write an equation, in slope-intercept form , Given f(-5)=-45, and f(0)=-5

Question 362570: How do I Figure this out?
Write an equation, in slope-intercept form , Given f(-5)=-45, and f(0)=-5
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
f(-5)=-45, and f(0)=-5 means that we have the points (-5,-45) and (0,-5). The line then goes through these points.

First let's find the slope of the line through the points

and

Start with the slope formula.

Plug in , , , and

Subtract from to get

Subtract from to get

Reduce

So the slope of the line that goes through the points

and

is

Now let's use the point slope formula:

Start with the point slope formula

Plug in , , and

Rewrite as

Rewrite as

Distribute

Multiply

Subtract 45 from both sides.

Combine like terms.

So the equation that goes through the points

and

is

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