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

Answer:

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

Step-by-step 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

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

Answer 2

Y = 2x satisfies this set of regulations

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