Question

How do you find the slope and intercept of `4x - y = 13`?

Answer 1

slope is `4`
`x` - intercept `(13/4,0)`
`y`- intercept `(0,-13)`

Explanation:

to get the slope, we need to change the equation in to the form of `y=mx+b , m =`slope

`4x-y = 13`
`y=4x-13`
`m=4`
m or slope is the coefficient of the term containing `x`

for the intercepts,

by definition `x`- intercept means the point that lies of the `x` axis
and `y`- intercept means the points on the `y` axis

so for the `x`- intercept,
just substitute `y` to `0`, then solve for x

`4x-y=13`
`4x-0=13`
`x=13/4`

`x` - intercept `(13/4,0)`

for the `y`- intercept
just substitute `x` to `0`, then solve for y
`4x-y=13`
`4(0)-y`
`y=-13`

`y`- intercept `(0,-13)`