Question

Write the point-slope form of the line that passes through the origin and is parallel to a line with a slope of 2. Include all of your work in your final answer. Type your answer in the box provided or use the upload option to submit your solution.

Answer 1

y = 2x satisfies this set of regulations

Point slope form would be y - 0 = 2( x - 0 )

Answer 2

`y-0=2(x-0)`

Explanation:

The point-slope form is defined as

`y-y_(1) =m(x-x_(1) )`

Where
`(x_(1),y_(1))` is a point that the line intercepts and
`m` is the slope.

So, in this case, the slope is 2, and the point is (0,0), because it passes through the origin.

Replacing all these values in the formula, we have

`y-y_(1) =m(x-x_(1) )\\y-0=2(x-0)\\y=2x`

Therefore, the line which the given characteristics is
`y=2x`, and its slope-form is

`y-0=2(x-0)`