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

Question

zaharov [31]

3 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] · Answer 1 · 2022-07-14T23:31:42+03:00

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