SOLUTION: write the equation for a line that has a slope of 1/2 through the point (6,-4) y=? When asked to write an equation of a line given a point and a slope we can use the point-slop

Algebra ->  Linear-equations -> SOLUTION: write the equation for a line that has a slope of 1/2 through the point (6,-4) y=? When asked to write an equation of a line given a point and a slope we can use the point-slop      Log On


   

Question 681008: write the equation for a line that has a slope of 1/2 through the point (6,-4)
y=?
When asked to write an equation of a line given a point and a slope we can use the point-slope formula y-y1=m%28x-x1%29 where m = slope and (x1,y1)= the point.
m=1%2F2 and (x1,y1)=(6,-4)
y-%28-4%29=%281%2F2%29%28x-6%29
y%2B4=%281%2F2%29x-%281%2F2%29%286%29
y%2B4=%281%2F2%29x-3
y%2B4-4=%281%2F2%29x-3-4
highlight%28y=%281%2F2%29x-7%29
Hope that helped. Happy Calculating!

Found 2 solutions by stanbon, funmath:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
write the equation for a line that has a slope
of 1/2 through the point (6,-4)
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Form: y = mx + b
You know m = 1/2 and y = -4 when x = 6
Solve for "b":
-4 = (1/2)*6 + b
-4 = 3 + b
b = -7
------
Equation:
y = (1/2)x - 7
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Cheers,
Stan H.
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Answer by funmath(2933) About Me  (Show Source):