SOLUTION: Use point-slope form to determine the equation of the line passing through the two given points. Then write the equation in slope-intercept form. (5,9), (1,-23)

Question 173073: Use point-slope form to determine the equation of the line passing through the two given points. Then write the equation in slope-intercept form.
(5,9), (1,-23)

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 9 to both sides.

Combine like terms.

Simplify

So the equation that goes through the points

and

is

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