Find the slope perpendicular to x+2y=7

Colten Andrade

Colten Andrade

Answered question

2022-09-26

Find the slope perpendicular to x+2y=7

Answer & Explanation

Nancy Phillips

Nancy Phillips

Beginner2022-09-27Added 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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