SOLUTION: write an equation of a line with the given slope and passes through the given point. m=-3;(1,4)

Question 307178: write an equation of a line with the given slope and passes through the given point.
m=-3;(1,4)
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)

Distribute

Multiply and to get

Add 4 to both sides to isolate y

Combine like terms and to get

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Answer:

So the equation of the line with a slope of which goes through the point (1,4) 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 (1,4), we get (note: if you need help with graphing, check out this solver )

Graph of through the point (1,4)
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 (1,4), this verifies our answer.
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