Question

How do you write an equation of a line parallel to the graph of 2x+5y=3 and the x-intercept is -2?

Answer 1

`2x+5y=-4`

Explanation:

Any equation of the form `Ax+By=C` has a slope of `m=-A/B`

Therefore `2x+5y=3` has a slope of`( -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:
`color(white)("XXX")(y-0)/(x-(-2))=(-2/5)`

`color(white)("XXX")y=(-2/5)(x+2)`

`color(white)("XXX")5y = -2x-4`

`color(white)("XXX")2x+5y=-4` (standard linear form)