SOLUTION: write an equation for the linear function f with the given values. f(0)=-1, f(3)=-10

Question 236025: write an equation for the linear function f with the given values.
f(0)=-1, f(3)=-10
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Since f(0)=-1, f(3)=-10 this means we have the two points (0,-1) and (3,-10)

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

and

Note:

is the first point

. So this means that and .
Also,

is the second point

. So this means that 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

Distribute

Multiply

Subtract 1 from both sides.

Combine like terms.

Simplify

So the equation that goes through the points

and

is

Notice how the graph of goes through the points

and

. So this visually verifies our answer.
Graph of through the points

and

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