SOLUTION: find the equation of the line with y intercept 2 and point (4,4)

Question 147311: find the equation of the line with y intercept 2 and point (4,4)
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
A line with a y intercept of 2 means that the line goes through the point (0,2)

So let's find the equation of the line through the points (0,2) and (4,4)

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 2 to 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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