How do you find the slope and intercept of $4x+2y-5=0$ ?

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Answer 1 · 2016-02-25T12:43:33

Rearrange the equation to get $m=-2, b=5/2$

The slope-intercept form of a line is given by

$y=mx+b$

where $m$ is the slope and $b$ is the y-intercept. Our equation needs to be rearranged into this form. We are starting with:

$4x+2y-5=0$

First, we'll move the $4x$ and the constant $-5$ to the other side (by adding $-4x+5$ to both sides):

$2y=-4x+5$

Now, we divide both sides of the equation by $2$ to get $y$ all by itself:

$y=-2 x+5/2$

By comparing this equation to the slope intercept form we can see that

$m=-2 , b=5/2$

How do you find the slope and intercept of 4x+2y-5=04x+2y-5=0?