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

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Question 341707: Write an equation in slope-intercept form for the line through (4,5) with slope 1/2
Answer by jim_thompson5910(35256) About Me  (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 1%2F2 which goes through the point (4,5), you can simply use the point-slope formula to find the equation:


---Point-Slope Formula---
y-y%5B1%5D=m%28x-x%5B1%5D%29 where m is the slope, and is the given point

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

y-5=%281%2F2%29%28x-4%29 Plug in m=1%2F2, x%5B1%5D=4, and y%5B1%5D=5 (these values are given)


y-5=%281%2F2%29x%2B%281%2F2%29%28-4%29 Distribute 1%2F2


y-5=%281%2F2%29x-2 Multiply 1%2F2 and -4 to get -2


y=%281%2F2%29x-2%2B5 Add 5 to both sides to isolate y


y=%281%2F2%29x%2B3 Combine like terms -2 and 5 to get 3


So the equation of the line with a slope of 1%2F2 which goes through the point (4,5) is:

y=%281%2F2%29x%2B3 which is now in y=mx%2Bb form where the slope is m=1%2F2 and the y-intercept is b=3


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

Also, feel free to check out my tutoring website

Jim