What is the slope and intercept of $y - \frac{2}{7} = 4 x$ $y-2/7=4x$ ?

Question

2344 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-03-14T17:10:38

See a solution process below:

First, rewrite this equation as:

$y - \frac{2}{7} + \frac{2}{7} = 4 x + \frac{2}{7}$ $y - 2/7 + color(red)(2/7) = 4x + color(red)(2/7)$

$y - 0 = 4 x + \frac{2}{7}$ $y - 0 = 4x + 2/7$

$y = 4 x + \frac{2}{7}$ $y = 4x + 2/7$

This equation is now in slope intercept form. The slope-intercept form of a linear equation is: $y = m x + b$ $y = color(red)(m)x + color(blue)(b)$

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

$y = 4 x + \frac{2}{7}$ $y = color(red)(4)x + color(blue)(2/7)$

Therefore:

The slope is: $m = 4$ $color(red)(m = 4)$
The $y$ $y$ -intercept is: $b = \frac{2}{7}$ $color(blue)(b = 2/7)$ or $(0, \frac{2}{7})$ $(0, color(blue)(2/7))$

What is the slope and intercept of y−27=4xy-2/7=4x?