Question

What is the slope and y-intercept of the line `2y-6=3x`?

Answer 1

slope: `color(green)(3/2)color(white)("XXXXX")`y-intercept: `color(blue)3`

Explanation:

A linear equation in the slope-intercept form
`color(white)("XXX")y=color(green)mx+color(blue)b`
has a slope of `color(green)m`
and a y-intercept of `color(blue)b`

Given
`color(white)("XXX")2y-6=3x`

We can convert this into slope-intercept form:

`color(white)("XXX")2y=3x+6`

`color(white)("XXX")y=color(green)(3/2)x+color(blue)3`

with a slope of `color(green)(m=3/2)`
and a y-intercept of `color(blue)3`