Question

5x-3y=12

Slope=
x-intercept-
y-intercept

Answer 1

I think the slope is 5/3, the x intercept is 12/5 ( i am not sure about this one), and the y intercept is -4. Hope this helps, have a good day. c;

Answer 2

Slope =
`(5)/(3)`

x-intercept =
`(12)/(5) =2.4`

y-intercept = -4

Explanation

Remember that the equation of a line in general form is:
`Ax+By+C=0`

where

`slope=(-A)/(B)`

`y-intercept=(-C)/(B)`

Notice that to express our equation,
`5x-3y=12`, in general form, we just need to subtract 12 from both sides of the equation:

`5x-3y=12`

`5x-3y-12=12-12`

`5x-3y-12=0`

Now can infer that
`A=5`,
`B=-3`, and
`C=-12`. So let's replace the values in our formulas:

`slope=(-A)/(B)`

`slope=(-5)/(-3)`

`slope=(5)/(3)`

`y-intercept=(-C)/(B)`

`y-intercept=(-(-12))/(-3)`

`y-intercept=(12)/(-3)`

`y-intercept=-4`

To find the x-intercept, we just need to replace
`y` with zero in our general or original equation and solve for
`x`:

`5x-3y-12=0`

`5x-3(0)-12=0`

`5x-12=0`

`5x=12`

`x=(12)/(5)=2.4`