SOLUTION: Find the equation of the line through the points (-3,-1) and (-9,-6)

Question 274739: Find the equation of the line through the points (-3,-1) and (-9,-6)
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

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Now remember that the general slope intercept equation is where 'm' is the slope of the line and 'b' is the y-intercept. We can use this general equation to find the equation of the line.

Since the line goes through the point (-3,-1), this means that x=-3 and y=-1. In addition, we know that the slope is . So we can use these values to solve for 'b'.

Start with the general slope-intercept equation.

Plug in , and

Multiply.

Reduce.

Add to both sides to isolate 'b'

Combine like terms.

So the value of 'b' is

Since and , we can plug these values into to get

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Answer:

So the equation of the line in slope-intercept form through the points (-3,-1) and (-9,-6) is
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