# Find the slope perpendicular to x+2y=7

Find the slope perpendicular to x+2y=7
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Nancy Phillips
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
$y=-\frac{1}{2}x+\frac{7}{2}←\text{in slope-intercept form}$
$\text{with slope m}\phantom{\rule{1ex}{0ex}}=-\frac{1}{2}\text{}\phantom{\rule{1ex}{0ex}}\text{and}\phantom{\rule{1ex}{0ex}}b=\frac{7}{2}$
given a line with slope m then the slope of a line perpendicular to it is
$•x{m}_{\text{perpendicular}}=-\frac{1}{m}$
${m}_{\text{perpendicular}}=-\frac{1}{-\frac{1}{2}}=2←\text{perpendicular slope}$