SOLUTION: Write the slope-intercept equation for the line that passes through (5, 4) and (7, 8). Please show all of your work.

Question 448626: Write the slope-intercept equation for the line that passes through (5, 4) and (7, 8). Please show all of your work.
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 , , , 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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