Question

What is the slope and intercept of `y-2/7=4x`?

Answer 1

See a solution process below:

Explanation:

First, rewrite this equation as:

`y - 2/7 + color(red)(2/7) = 4x + color(red)(2/7)`

`y - 0 = 4x + 2/7`

`y = 4x + 2/7`

This equation is now in slope intercept form. 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.

`y = color(red)(4)x + color(blue)(2/7)`

Therefore:

• The slope is: `color(red)(m = 4)`

• The `y`-intercept is: `color(blue)(b = 2/7)` or `(0, color(blue)(2/7))`