SOLUTION: Write the equation in slope-intercept form: (2,4) (5,16) Y= use x as a varible Thank you!

Question 220792: Write the equation in slope-intercept form:
(2,4) (5,16)
Y=
use x as a varible
Thank you!
Found 2 solutions by rfer, jim_thompson5910:
Answer by rfer(16322) (Show Source): You can put this solution on YOUR website!
y=mx+b
y=4x-4
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 . 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

Distribute

Multiply

Add 4 to both sides.

Combine like terms.

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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