# Find the equation of the line between (8, -2) and (6,5) in slope intercept form

Cindy Noble 2022-09-07 Answered
Find the equation of the line between (8, -2) and (6,5) in slope intercept form
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lascosasdeali3v
Here the concept of slope intercept form will be used .
The slope intercept form is used to provide the equation of the straight line in the form of
$y=mx+c$
Where m is the slope of the straight line and c is the y intercept of the straight line .
The point are
$m=slope=\frac{{y}_{2}-{y}_{1}}{{x}_{2}-{x}_{1}}=\frac{5-\left(-2\right)}{6-8}=\frac{5+2}{-2}=\frac{-7}{2}$
Now as slope intercept form is
$y=mx+c$
Putting m we get $y=\frac{-7n}{2}+C$
Now substituting a point is it to get the value of C
$5=\frac{-7×6}{2}+C\phantom{\rule{0ex}{0ex}}5=-7×3+C\phantom{\rule{0ex}{0ex}}C=5+21=26$
so $y=\frac{-7n}{2}+26\phantom{\rule{0ex}{0ex}}y=-3.5n+26$