Question

Consider the equation 12x - 5y = 15

a. write the equation in slope intercept form
b. what is the slope?
c. what is the y-intercept​

Answer 1

Slope-Intercept Form - y = 12/5x-3

Slope - M = 12/5

The Y-Intercept - B = -3

For finding slope use formula and y-intercept use y=mx+b

m=Slope

b=y-intercept

Answer 2

(a) Slope intercept form :
`y=(12)/(5)x-3`

(b) Slope = 12/5

(c) y-intercept: -3

Explanation:

(a)

Slope intercept from of a line is

`y=mx+b` ..... (1)

where, m is slope and b is y-intercept.

The given equation is

`12x-5y=15`

Subtract 12x from both sides.

`-5y=-12x+15`

Divide both sides by -5.

`y=(-12x+15)/(-5)`

`y=(12)/(5)x-3` .... (2)

Therefore, the slope intercept form is
`y=(12)/(5)x-3`.

(b)

On comparing (1) and (2) we get

`m=(12)/(5)`

The slope of the equation is 12/5.

(c)

On comparing (1) and (2) we get

`b=-3`

The y-intercept of the equation is -3.