SOLUTION: find an equation of line having the given slope contining the given point m= -7, (3,5) the equation of the line is y=?

Question 370340: find an equation of line having the given slope contining the given point
m= -7, (3,5)
the equation of the line is y=?
Found 2 solutions by amoresroy, jim_thompson5910:
Answer by amoresroy(361) (Show Source): You can put this solution on YOUR website!
find an equation of line having the given slope contining the given point
m= -7, (3,5)
Standard equation of a line
y = mx + b
where m = the slope
b = the y intercept
Substitute the given values
5 = -7(3) + b
b = 5 + 21 = 26
So the equation of the line is
y = -7x + 26
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 5 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 (,) is:

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

If you need more help, email me at jim_thompson5910@hotmail.com

Also, feel free to check out my tutoring website

Jim
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