SOLUTION: What is the equation of the line passing through (-2, 6) with the x-intercept half the y-intercept?

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Question 1009214: What is the equation of the line passing through (-2,
6) with the x-intercept half the y-intercept?

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

What is the equation of the line
passing through (-2,6)
with the x-intercept half the y-intercept?
y=mx%2Bb+ where m=slope and b=y-intercept and we need to find that
use given point (-2,6)
6=m%28-2%29%2Bb+
6=-2m%2Bb+.......solve for b
b=2m%2B6............eq.1
the x-intercept is where y=0
so, 0=mx%2Bb............solve for x
x=+-b%2Fm...........eq.2
if the x-intercept is half the y-intercept, then x=b%2F2
so, we have
b%2F2=+-b%2Fm
mb=-2b
highlight%28m=+-2%29
go back to b=2m%2B6............eq.1, substitute m and solve for b
b=2%28-2%29%2B6
b=-4%2B6
b=2
and, your equation is: y=+-2x%2B2+