SOLUTION: Write the​ slope-intercept equation of the function f whose graph satisifies the given conditions. The graph of f passes through left parenthesis negative 4 comma 8 right

Algebra ->  Linear-equations -> SOLUTION: Write the​ slope-intercept equation of the function f whose graph satisifies the given conditions. The graph of f passes through left parenthesis negative 4 comma 8 right      Log On


   



Question 1050488: Write the​ slope-intercept equation of the function f whose graph satisifies the given conditions.
The graph of f passes through
left parenthesis negative 4 comma 8 right parenthesis(−4,8)
and is perpendicular to the line that has an​ x-intercept of
11
and a​ y-intercept of
negative 2−2.

Found 3 solutions by ewatrrr, Boreal, MathTherapy:
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!

Hi
Original Line:
(11, 0)
(0,-2) m = 2/11 m =%28y%5B1%5D+-+y%5B2%5D%29%2F%28x%5B1%5D+-+x%5B2%5D+%29
Line Perpendicular to that Line: m = -11/2 (negative reciprocal)
Perpendicular Line passes thru (-4, 8)
y - 8 = (-11/2)(x + 4) ***Using point-slope form, y+-+y%5B1%5D+=+highlight_green%28m%29%28x+-+x%5B1%5D%29
y = (-11/2)x -22 + 8
y = (-11/2)x - 14 (slope-intercept form)

Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
x intercept of 11 is (11,0)
y-intercept of -2 is (0.-2)
The slope of that line is -2/-11 or 2/11
It passes through (0,-2), so the equation is y=(2/11)x-2
--------------------------------
The slope of f is the negative reciprocal of 2/11 or -11/2
It has a point of (-4,8)
slope intercept form os y-y1=m(x-x1), where m is the slope, and (x1,y1) is a point
y-8=(-11/2)(x+4)
y-8=(-11/2)x-22
y=(-11/2)x+14
graph%28300%2C300%2C-15%2C15%2C-15%2C15%2C%282x%2F11%29-2%2C%28-11x%2F2%29%2B14%29

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

Write the​ slope-intercept equation of the function f whose graph satisifies the given conditions.
The graph of f passes through
left parenthesis negative 4 comma 8 right parenthesis(−4,8)
and is perpendicular to the line that has an​ x-intercept of
11
and a​ y-intercept of
negative 2−2.
highlight_green%28y+=+%28-+11%2F2%29x+-+14%29