Question

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

Answer 1

slope intercept: `y=1/2x`
point-slope: `2y-x=0`

Explanation:

slope intercept form equation: `y=mx+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=mx+b`
`y=1/2x+b`
`y=1/2x+0`
`y=1/2x`

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=1/2x`
`y-1/2x=0`
`2y-x=0`

Hope this helps!