Find the slope perpendicular to x+2y=7

Colten Andrade 2022-09-26 Answered
Find the slope perpendicular to x+2y=7
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Answers (1)

Nancy Phillips
Answered 2022-09-27 Author has 12 answers
MathJax(?): Can't find handler for document MathJax(?): Can't find handler for document the equation of a line in slope-intercept form is.
y=mx+b
where m is the slope and b the y-intercept
rearrange x+2y=7 into this form
subtract x from both sides
2y=−x+7
divide all terms by 2
y = - 1 2 x + 7 2 in slope-intercept form
with slope m = - 1 2 and b = 7 2
given a line with slope m then the slope of a line perpendicular to it is
x m perpendicular = - 1 m
m perpendicular = - 1 - 1 2 = 2 perpendicular slope
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