Question

How do you write `2x-5y = 15` in slope-intercept form?

Answer 1

`y=color(green)(2/5)xcolor(blue)(-3)`

Explanation:

Our target form is
`color(white)("XXX")y=color(green)mx+color(blue)b`
which is the slope-intercept form with slope `color(green)m` and y-intercept `color(blue)(b)`

`2x-5y=15`

`rarr -5y=-2x+15`

`rarr y=(-2)/(-5)x+(15)/(-5)`

`rarr y=color(green)(2/5)xcolor(blue)(-3)`