Question

How do you find the slope and the Y intercept: 14x+4y=24?

Answer 1

Slope: `(-7/2)`

y-intercept: `6`

Explanation:

Convert `14x+4y=24` into "slope-intercept form"

`color(white)("XXX")`Subtract `14x` from both sides
`4y = -14x+24`

`color(white)("XXX")`Divide both sides by `4`
`y=-14/4x +24/4`

`color(white)("XXX")`Simplify
`y=-7/2x+6`
`color(white)("XXX")`which is the slope intercept form with slope `=(-7/2)` and y-intercept `=6`