Question

How do you change the given equation into slope-intercept form 5x – 2y = 10?

Answer 1

`y=5/2x-5`

Explanation:

The equation of a line in `color(blue)"slope-intercept form"` is

`color(red)(|bar(ul(color(white)(a/a)color(black)(y=mx+b)color(white)(a/a)|)))`
where m represents the slope and b, the y-intercept.

We require to rearrange 5x - 2y = 10 into this form

Subtract 5x from both sides

`rArrcancel(5x)-2ycancel(-5x)=10-5x`

We now have : -2y = 10 - 5x

divide all terms on both sides by -2

`rArr(cancel(-2)y)/cancel(-2)=10/(-2)-(5)/(-2)x`

`rArry=5/2x-5" in slope-intercept form"`