# Write an equation of a line parallel to the graph of 2x+5y=3 and the x-intercept is -2

Write an equation of a line parallel to the graph of 2x+5y=3 and the x-intercept is -2
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smh3402en
Any equation of the form Ax+By=C has a slope of $m=-\frac{A}{B}$
Therefore 2x+5y=3 has a slope of $\left(-\frac{2}{5}\right)$
All parallel lines have the same slope.
If a line has an x-intercept of (−2)
then (x,y)=(−2,0) is a point on the line.
Using the slope definition:
$\text{XXX}\frac{y-0}{x-\left(-2\right)}=\left(-\frac{2}{5}\right)$
$\text{XXX}y=\left(-\frac{2}{5}\right)\left(x+2\right)$
$\text{XXX}5y=-2x-4$
$\text{XXX}2x+5y=-4$ (standard linear form)