Russell Marsh

2022-09-07

Write a slope-intercept equation for a line parallel to the line x-2y=6 which passes through the point (-5,2)

graulhavav9

Beginner2022-09-08Added 14 answers

Parallel lines have equal slopes

the equation of a line in slope-intercept form is.

$\u2022{x}y=mx+b$

where m is the slope and b the y-intercept

rearrange x−2y=6 into this form

$\Rightarrow y=\frac{1}{2}x-3\leftarrow \phantom{\rule{1ex}{0ex}}\text{with}\phantom{\rule{1ex}{0ex}}m=\frac{1}{2}$

$\Rightarrow y=\frac{1}{2}x+b\leftarrow {\text{is the partial equation}}$

to find b substitute (−5,2) into the partial equation

$2=-\frac{5}{2}+b\Rightarrow b=\frac{9}{2}$

$\Rightarrow y=\frac{1}{2}x+\frac{9}{2}\leftarrow {\text{in slope-intercept form}}$

the equation of a line in slope-intercept form is.

$\u2022{x}y=mx+b$

where m is the slope and b the y-intercept

rearrange x−2y=6 into this form

$\Rightarrow y=\frac{1}{2}x-3\leftarrow \phantom{\rule{1ex}{0ex}}\text{with}\phantom{\rule{1ex}{0ex}}m=\frac{1}{2}$

$\Rightarrow y=\frac{1}{2}x+b\leftarrow {\text{is the partial equation}}$

to find b substitute (−5,2) into the partial equation

$2=-\frac{5}{2}+b\Rightarrow b=\frac{9}{2}$

$\Rightarrow y=\frac{1}{2}x+\frac{9}{2}\leftarrow {\text{in slope-intercept form}}$

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