Question

What is the slope and the y intercept of the line defined by the equation `3x-4y=5`?

Answer 1

`y = 3/4x - 5/4`

Explanation:

The slope-intercept form of a linear equation is:

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

Therefore, we must solve this standard form linear equation for `y` to obtain the slope-intercept form:

`3x - 3x - 4y = -3x + 5`

`0 - 4y = -3x + 5`

`-4y = -3x + 5`

`(-4y)/-4 = (-3x + 5)/-4`

`(cancel(-4)y)/cancel(-4) = (-3x)/-4 + 5/-4`

`y = 3/4x - 5/4`