SOLUTION: WRITE THE EQUATION OF THE LINE THAT PASSES THRU THE GIVEN POINT AND IS PERPENDICULAR TO THE GIVEN LINE. WRITE THE ANSWER IN SLOPE INTERCEPT FORM. (-4,2), y+2x = -17

Question 210178: WRITE THE EQUATION OF THE LINE THAT PASSES THRU THE GIVEN POINT AND IS PERPENDICULAR TO THE GIVEN LINE. WRITE THE ANSWER IN SLOPE INTERCEPT FORM.
(-4,2), y+2x = -17
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
WRITE THE EQUATION OF THE LINE THAT PASSES THRU THE GIVEN POINT AND IS PERPENDICULAR TO THE GIVEN LINE. WRITE THE ANSWER IN SLOPE INTERCEPT FORM.
(-4,2)
y+2x = -17
-----------------
y = -2x-17
The slope, m, is -2
The slope of lines perpendicular is the negative inverse, = 1/2
then use:
y-y1 = m*(x-x1) where (x1,y1) is the point
y-2 = (1/2)*(x+4)
y = (1/2)x + 4 (slope-intercept form)
x - 2y = -8 (standard form)

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