Question

What is the equation in slope-intercept form of the line: `2y -4x=- 2`?

Answer 1

`y = 2x - 1`

Explanation:

The slope-intercept form of a linear equation is:

`y = color(red)(m)x + color(blue)(b)`

Where `color(red)(m)` is the slope and `color(blue)(b` is the y-intercept value.

To transform this equation to this form we can solve for `y`;

`2y - 4x = -2`

`2y - 4x + color(red)(4x) = -2 + color(red)(4x)`

`2y - 0 = color(red)(4x) - 2`

`2y = color(red)(4x) - 2`

`(2y)/color(red)(2) = (4x - 2)/color(red)(2)`

`(color(red)(cancel(color(black)(2)))y)/cancel(color(red)(2)) = (4x)/color(red)(2) - 2/color(red)(2)`

`y = 2x - 1`