Question

What's the slop and y intercept of 4y = 2x - 12

Answer 1

slope:
`(1)/(2)`

y-intercept: (0,-3)

Explanation:

First, place the equation in slope-intercept form to identify the slope and y-intercept easily. Isolate the y in the equation to do this:

`4y = 2x-12\\(4)/(4) y = (2)/(4) x-(12)/(4) \\y = (1)/(2) x-3`

Now that the equation is in slope-intercept form, it is much easier to find the slope and y-intercept of the equation. Remember that the slope-intercept formula is
`y = mx + b`.

In an equation written in slope-intercept form, the
`m`, or the coefficient of the x-term, represents the slope. So, the slope of his equation is
`(1)/(2)`. Also, the
`b`, or the constant on the right side of the equation, represents the y-intercept. So, the y-intercept of this equation is (0,-3).