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

Diana Lamb
2022-10-11
Answered

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

Answered 2022-10-12
Author has **11** answers

Any equation of the form Ax+By=C has a slope of $m=-\frac{A}{B}$

Therefore 2x+5y=3 has a slope of $(-\frac{2}{5})$

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:

${\text{XXX}}\frac{y-0}{x-(-2)}=(-\frac{2}{5})$

${\text{XXX}}y=(-\frac{2}{5})(x+2)$

${\text{XXX}}5y=-2x-4$

${\text{XXX}}2x+5y=-4$ (standard linear form)

Therefore 2x+5y=3 has a slope of $(-\frac{2}{5})$

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:

${\text{XXX}}\frac{y-0}{x-(-2)}=(-\frac{2}{5})$

${\text{XXX}}y=(-\frac{2}{5})(x+2)$

${\text{XXX}}5y=-2x-4$

${\text{XXX}}2x+5y=-4$ (standard linear form)

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