SOLUTION: Write an equation in slope-intercept form for the line through (4,5) with slope 1/2

Question 341707: Write an equation in slope-intercept form for the line through (4,5) with slope 1/2
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

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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