Question 60211

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(y=mx+b)}}} is m.
The slope of the line given is {{{y=highlight(2)x}}} 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(y-y1=m(x-x1))}}}
m=-1/2 and (x1,y1)=(-7,2)
{{{y-2=(-1/2)(x-(-7))}}}
{{{y-2=(-1/2)(x+7)}}}
{{{2(y-2)=2(-1/2)(x+7)}}}
{{{2y-4=-1(x+7)}}}
{{{2y-4=-x-7}}}
{{{2y-4+4=-x-7+4}}}
{{{2y=-x-3}}}
{{{2y/2=-x/2-3/2}}}
{{{highlight(y=(-1/2)x-3/2)}}} <---Slope intercept form of the line.
Happy Calculating!!!