How do you find the equation of a line with a slope of 2 and a y intercept of (0,0)?

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How do you find the equation of a line with a slope of 2 and a y intercept of (0,0)?

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Answer 1 · 2016-12-31T08:19:11

Use slope-intercept form. See below.

Explanation:

Slope-intercept form is given by $y=mx+b$ , where $m$ is the slope of the line and $b$ is the $y$ -intercept of the line, or the value of $y$ where the line crosses the $y$ -axis.

Given that the slope of the line is $2$ , we have $m=2$ , and because the line crosses the $y$ -axis at the point $(0,0)$ , where $y=0$ and $x-0$ , we have:

$y=2x+0$

Or, equivalently, $y=2x$

If the point given were not the origin, you could use $y=mx+b$ to find $b$ by plugging the $x$ and $y$ value of the point in for $x$ and $y$ in the equation along with the given slope $m$ and solving for $b$ .

Given $m=2$ and $(x,y)=(0,0)$ :

$0=2(0)+b$

$=>0=b$

We would then put this value back into $y=mx+b$ for $b$ , along with the slope $m$ , yielding the same answer as above: $y=2x$ .

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How do you find the equation of a line with a slope of 2 and a y intercept of (0,0)?

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