Question

What is the equation in standard form of the line that passes through the point (1, 24) and has a slope of -0.6?

Answer 1

`3x+5y=123`

Explanation:

Let's write this equation in point-slope form before converting it into standard form.

`y=mx+b`
`24=-0.6(1)+b`
`24=-0.6+b`
`24.6=b`
`y=-0.6x+24.6`

Next, let's add `-0.6x` to each side to get the equation in standard form. Remember that each coefficient MUST be an integer:

`0.6x+y=24.6`
`5*(0.6x+y)=(24.6)*5`
`3x+5y=123`