Write an equation of a line passing through (4, -3), perpendicular to y=−4x+3

Aarav Atkins

Aarav Atkins

Answered question

2022-10-26

Write an equation of a line passing through (4, -3), perpendicular to y=−4x+3

Answer & Explanation

Sauppypefpg

Sauppypefpg

Beginner2022-10-27Added 23 answers

the equation of a line in slope-intercept form is.
x y = m x + b
where m is the slope and b the y-intercept
y=−4x+3 is in this form
with slope m =−4
Given a line with slope m then the slope of a line perpendicular to it is
x m perpendicular = - 1 m
m perpendicular = - 1 - 4 = 1 4
y = 1 4 x + b is the partial equation
to find b substitute (4,−3) into the partial equation
- 3 = 1 + b b = - 3 - 1 = - 4
y = 1 4 x - 4 perpendicular line

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