Question

-10x + 2y = 12
What is each equation in slope intercept form

Answer 1

`y = 5\, x + 6`.

Explanation:

The slope-intercept equation of a line in a plane should be in the form
`y = m\, x + b` for some constant
`m` ("slope") and constant
`b` (
`y`-"intercept".)

In the slope-intercept equation,
`y` should be the only term on the left-hand side of the equation with a coefficient of
`1`. No term on the right-hand side shall include
`y\!`.

Rewrite the given equation to obtain the slope-intercept equation of this line.

`(10\, x) + (-10\, x) + 2\, y = (10\, x) + 12` (Add
`10\, x` to both sides of this equation.)

`2\, y = 10\, x + 12`.

`y = 5\, x + 6`. (Divide both sides by
`2`, such that the coefficient of
`y` becomes
`1` as required.)

Therefore, the slope-intercept equation of this line would be
`y = 5\, x + 6`, with slope
`m = 5` and
`y`-intercept
`b = 6`.