SOLUTION: 1. Line j contains the points (-2,3) and (1,5). a) Determine the slope of the line.---I got that part. slope=2/3 b) Write an equation for the line. y=2/3x+ ??? I nee

Question 148201: 1. Line j contains the points (-2,3) and (1,5).
a) Determine the slope of the line.---I got that part. slope=2/3
b) Write an equation for the line.
y=2/3x+ ???
I need help right there.
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

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

Add 3 to both sides.

Rewrite as .

Combine the fractions.

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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