SOLUTION: i need step by step help please Write an equation of the line that passes through the given point P and has the given slope m 19. P(-8,-2),m-2/3 <its a fraction please h

Question 105510This question is from textbook GEOMETRY
: i need step by step help please
Write an equation of the line that passes through the given point P and has the given slope m
19. P(-8,-2),m-2/3 please help This question is from textbook GEOMETRY

Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!

If you want to find the equation of line with a given a slope of which goes through the point (,), you can simply use the point-slope formula to find the equation:

---Point-Slope Formula---
where is the slope, and

is the given point

So lets use the Point-Slope Formula to find the equation of the line

Plug in , , and (these values are given)

Rewrite as

Rewrite as

Distribute

Multiply and to get

Subtract 2 from both sides to isolate y

Combine like terms and to get (note: if you need help with combining fractions, check out this solver)

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Answer:

So the equation of the line with a slope of which goes through the point (,) is:

which is now in form where the slope is and the y-intercept is

Notice if we graph the equation and plot the point (,), we get (note: if you need help with graphing, check out this solver )

Graph of through the point (,)
and we can see that the point lies on the line. Since we know the equation has a slope of and goes through the point (,), this verifies our answer.
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