# What is the equation in point-slope form and slope intercept form for the line given m=1/2; C(0,0)?

May 2, 2018

slope intercept: $y = \frac{1}{2} x$
point-slope: $2 y - x = 0$

#### Explanation:

slope intercept form equation: $y = m x + b$
$m$ is the slope
$b$ is the y intercept, or when $x = 0$.
If C(0,0), then the y intercept is $0$ because when y is $0$, x is $0$.

$y = m x + b$
$y = \frac{1}{2} x + b$
$y = \frac{1}{2} x + 0$
$y = \frac{1}{2} x$

In point-slope form, x and y are on the same side of the equation and there are no fractions or decimals. So, use the slope-intercept form to find it.

$y = \frac{1}{2} x$
$y - \frac{1}{2} x = 0$
$2 y - x = 0$

Hope this helps!