SOLUTION: Find an equation of the line satisfying the conditions given. Express your answer in standard form. Perpendicular to x - 4y = 2 and passing through (3, -1)

Algebra ->  Linear-equations -> SOLUTION: Find an equation of the line satisfying the conditions given. Express your answer in standard form. Perpendicular to x - 4y = 2 and passing through (3, -1)      Log On


   

Question 676512: Find an equation of the line satisfying the conditions given. Express your answer in standard form.
Perpendicular to x - 4y = 2 and passing through (3, -1)
Answer by ReadingBoosters(3246) About Me  (Show Source):
You can put this solution on YOUR website!
x-4y = 2
x-2 = 4y
y = %281%2F4%29x+-+1%2F2
slope is 1%2F4
...
a perpendicular line will have a negative inverse(reciprocal)
so the perpendicular line will have a slope of -4
...
Using slope of -4 and point (3,-1)
y - -1 = -4(x-3)
y+1 = -4x + 12
y = -4x + 12 - 1
highlight_green%28y+=+-4x%2B11%29
...
graph%28300%2C200%2C-10%2C10%2C-10%2C10%2C%281%2F4%29x-%281%2F2%29%2C-4x%2B11%29
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