SOLUTION: Passing through (4,-8) and perpendicular to the line whose equation is x-5y=3 Write an equation for this line in point slope form: Also Write and equation for this line in

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Question 1040715: Passing through (4,-8) and perpendicular to the line whose equation is x-5y=3
Write an equation for this line in point slope form:
Also
Write and equation for this line in slope-intercent form:
Please help

Found 3 solutions by Boreal, josgarithmetic, ikleyn:
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
The line x-5y=3 may be written as 5y=x-3 or y= (1/5)x-(3/5), slope -intercept form. The slope of the line perpendicular to this line is the negative reciprocal of the coefficient of x. That is the negative reciprocal of (1/5). To find that, flip the fraction and change the sign. It is therefore -5.
point slope form of the line that goes through (4,-8) perpendicular to the line given has slope -5
y-(-8)=-5(x-4)
y+8=5(x-4) That is point-slope form
y=5x-20-8
y=5x-28 That is slope-intercept form.
Graph doesn't show x and y the same interval for each.
graph%28300%2C200%2C-20%2C20%2C-30%2C30%2C%28x%2F5%29-%283%2F5%29%2C5x-28%29

Answer by josgarithmetic(39616) About Me  (Show Source):
You can put this solution on YOUR website!
The slope for the given line is %281%2F5%29 and any line in the plane perpendicular to it will have slope -5. Perpendicular lines in a plane have slopes which are negative reciprocals.


Now the question is, what is the equation for a line passing through point (4,-8) and with slope -5?

Using the point-slope form of equation, highlight%28y-%28-8%29=-5%28x-4%29%29.
Simplify this and solve for y in terms of x.
y%2B8=-5x%2B20
y=-5x%2B20-8
highlight%28highlight%28y=-5x%2B12%29%29-------the same line but now in slope-intercept form.


graph%28300%2C300%2C-6%2C6%2C-6%2C6%2Cx%2F5%2B3%2C-5x%2B12%29

Answer by ikleyn(52776) About Me  (Show Source):
You can put this solution on YOUR website!
.
If you fix errors in the Boreal solution, then you probably will get the correct answer.