Question

How do you find the slope and intercept of `2x-5y= -10`?

Answer 1

`x`-intercept is `x=-5`

`y`-intercept is `y=2`

slope=`2/5`

Explanation:

`2x-5y=-10`
`x`-intercept is when `y=0`
So by putting `y=0` in the above equation we get
`2x-5(0)=-10`
or
`2x-0=-10`
or
`2x=-10`
or
`x=-10/2`
or
`x=-5` --------------Ans `1`

`y`-intercept is when `x=0`
So by putting `x=0` in the equation `2x-5y=-10` we get
`2(0)-5y=-10`
or
`0-5y=-10`
or
`-5y=-10`
or
`5y=10`
or
`y=10/5`
`y=2` --------------Ans `2`

In the equation `y=mx+c; m` is the slope
So we can rewrite equation `2x-5y=-10`
as
`5y=2x+10`
or
`y=(2/5)x+10/5`
or
`y=(2/5)x+2`

Hence slope=`2/5` ----------Ans `3`