SOLUTION: algebra 2 write an equation for the line with the given info. pts (3,5) (5,12) I know that you have to use slope intercept for y=mx+b but i dont know how to find the slope. I th

Question 195588: algebra 2
write an equation for the line with the given info.
pts (3,5) (5,12)
I know that you have to use slope intercept for y=mx+b but i dont know how to find the slope. I think you have to make a graph but Im not sure.
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!

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

and

Note:

is the first point

and

is the second point

.

Start with the slope formula.

Plug in , , , and

Subtract from to get

Subtract from to get

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

Distribute

Multiply

Add 5 to both sides.

Combine like terms.

So the equation that goes through the points

and

is

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