SOLUTION: "Write the slope-intercept equation of the function f whose graph satisfies the given conditions. The graph of f passes through (-6,6) and is perpendicular to the line that has an

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: "Write the slope-intercept equation of the function f whose graph satisfies the given conditions. The graph of f passes through (-6,6) and is perpendicular to the line that has an       Log On


   

Question 847842: "Write the slope-intercept equation of the function f whose graph satisfies the given conditions. The graph of f passes through (-6,6) and is perpendicular to the line that has an x-intercept of 2 and a y-intercept of -4.
The equation of the function is...
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
The slope of the line that passes through (0,-4) and (2,0) is,
m=%280-%28-4%29%29%2F%282-0%29=4%2F2=2
A perpendicular line would have a slope of,
m%2A2=-1
m=-1%2F2
.
.
y=-%281%2F2%29x%2Bb
Use the point (-6,6) to solve for b
6=-%281%2F2%29%28-6%29%2Bb
6=3%2Bb
b=3
.
.
y=-%281%2F2%29x%2B3
.
.