What is the slope intercept form of the line with a slope of $\frac{3}{5}$ $3/5$ and y-intercept of $- \frac{1}{2}$ $-1/2$ ?

Question

4519 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-02-16T23:28:47

See the solution below:

$y = \frac{3}{5} x - \frac{1}{2}$ $y = color(red)(3/5)x - color(blue)(1/2)$

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.

The problem states:

The slope is $\frac{3}{5}$ $color(red)(3/5)$

The y-intercept is: $- \frac{1}{2}$ $color(blue)(-1/2)$

Substituting gives:

$y = \frac{3}{5} x + - \frac{1}{2}$ $y = color(red)(3/5)x + color(blue)(-1/2)$

$y = \frac{3}{5} x - \frac{1}{2}$ $y = color(red)(3/5)x - color(blue)(1/2)$

What is the slope intercept form of the line with a slope of 3/5 353/5 and y-intercept of -1/2 −12 -1/2 ?