SOLUTION: write the equation in the slope intercept form for the line passing through (2,1) and (-1,3) I know that slope intercept form is y=mx+b and the slope is -2/3 any help?

Question 147607: write the equation in the slope intercept form for the line passing through (2,1) and (-1,3)
I know that slope intercept form is y=mx+b
and the slope is -2/3
any help?
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

Start with the slope formula.

Plug in , , , , ,

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

Distribute

Multiply

Add 1 to both sides.

Combine like terms. note: If you need help with fractions, check out this solver.

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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