SOLUTION: write the slope-intercept equation for the line that passes through (-5, 10) and (-4, 3). Please show all of your work.

Question 628457: write the slope-intercept equation for the line that passes through (-5, 10) and (-4, 3). Please show all of your work.
Found 2 solutions by jim_thompson5910, reviewermath:
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

Rewrite as

Distribute

Multiply

Add 10 to both sides.

Combine like terms.

So the equation that goes through the points and is

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Answer by reviewermath(1029) (Show Source): You can put this solution on YOUR website!

The equation of the line is

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