SOLUTION: please help solve. find and equation of each line, and write it in slope intercept form through (-7,2) and perpendicular to y=2x

Algebra ->  Linear-equations -> SOLUTION: please help solve. find and equation of each line, and write it in slope intercept form through (-7,2) and perpendicular to y=2x       Log On


   

Question 60211: please help solve.
find and equation of each line, and write it in slope intercept form
through (-7,2) and perpendicular to y=2x
Answer by funmath(2933) About Me  (Show Source):
You can put this solution on YOUR website!

find and equation of each line, and write it in slope intercept form
through (-7,2) and perpendicular to y=2x
The slope of a line written in slope intercept form highlight%28y=mx%2Bb%29 is m.
The slope of the line given is y=highlight%282%29x m=2.
Perpendicular lines are lines that have slopes that are negative reciprocals of each other (opposite signs and upside down).
:
Therefore the slope of our line will be: m=-1/2
We can find the equation of the line using the point slope formula highlight%28y-y1=m%28x-x1%29%29
m=-1/2 and (x1,y1)=(-7,2)
y-2=%28-1%2F2%29%28x-%28-7%29%29
y-2=%28-1%2F2%29%28x%2B7%29
2%28y-2%29=2%28-1%2F2%29%28x%2B7%29
2y-4=-1%28x%2B7%29
2y-4=-x-7
2y-4%2B4=-x-7%2B4
2y=-x-3
2y%2F2=-x%2F2-3%2F2
highlight%28y=%28-1%2F2%29x-3%2F2%29 <---Slope intercept form of the line.
Happy Calculating!!!