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zaharov [31]
2 years ago
13

Write an equation of the line containing the given point and perpendicular to the given line. express your answer in the form y=

mx+b. (8,9); 4x+y=5
Mathematics
1 answer:
katovenus [111]2 years ago
4 0
The given line
4x + y = 5
The slope of the given line is -4

Find the slope of perpendicular line
m₁ × m₂ = -1
-4 × m₂ = -1
m₂ = -1/-4
m₂ = 1/4

Find the equation of perpendicular line
y - y₁ = m(x - x₁)
y - 9 = 1/4(x - 8)
y - 9 = (1/4) x - 2
y = (1/4)x - 2 + 9
y = (1/4)x + 7
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