Question

What is the slope, x-intercept, and y-intercept of the graph of `3x+y=7`?

Answer 1

The slope m = -3
The y intercept = 7
The x intercept = `7/3`

Explanation:

The y intercept form is
`y = mx + b`

Changing the equation
`3x + y = 7` to get the y intercept form add `-3x` to both sides

`3x + (-3x) + y = -3x + 7` which gives the y intercept form

`y = -3x + 7`

`m =` the slope ( think mountain ski slope)`m = -3`
`b =` the y intercept ( thing beginning) `b= 7 or ( 0,7)`

The x intercept form is

`x = my + b`

Solve the equation for x

`3x + y = 7" "` subtract y from both sides

`3x + y -y = -y + 7" "` This gives

`3x = -y + 7" "` divide both sides by 3

`(3x)/3 = (-y)/3 + 7/3` The result is

`x = -1/3 xx y + 7/3`

The `x`-intercept is `7/3 or ( 7/3, 0)`