Write the equation of a line in slope intercept form that is perpendicular to the line y = –4x and passes through the point (2, 6)

Francis Oliver 2022-10-26 Answered
Write the equation of a line in slope intercept form that is perpendicular to the line y = –4x and passes through the point (2, 6)
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Answers (1)

megagoalai
Answered 2022-10-27 Author has 22 answers
Given a line with slope m then the slope of a line perpendicular to it is
x m perpendicular = - 1 m
the equation of a line in slope-intercept form is
y=mx+b
where m is the slope and b the y-intercept
y=−4x is in this form
with slope m=−4
m perpendicular = - 1 - 4 = 1 4
y = 1 4 x + b is the partial equation
to find b substitute (2,6) into the partial equation
6 = 1 2 + b b = 12 2 - 1 2 = 11 2
y = 1 4 x + 11 2 in slope-intercept form
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