SOLUTION: Could someone please help me with this problem. write an equation for the following conditions: Passing through (-4,6) perpendicular to the line whose equation is Y= (-1/4)x+5 th

Question 153955This question is from textbook college algebra Blitzer
: Could someone please help me with this problem.
write an equation for the following conditions: Passing through (-4,6) perpendicular to the line whose equation is Y= (-1/4)x+5 there are no parentheses around the -1/4
Thank You
Deb This question is from textbook college algebra Blitzer

Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
write an equation for the following conditions: Passing through (-4,6) perpendicular to the line whose equation is Y= (-1/4)x+5 there are no parentheses around the -1/4
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y = -x/4 + 5 is the slope-intercept form, so the slope m = -1/4
The slope of a line perpendicular has a slope that's the negative inverse, +4
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Then:
y-y1 = m*(x-x1)
y - 6 = 4*(x-(-4))
y - 6 = 4*(x+4)
y-6 = 4x+16
y = 4x + 22 (slope-intercept form)
4x - y = -22 (standard form)

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