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. savestylesformat instructions

The required point slope form is y=2x.

Step-by-step explanation:

Given : The line that passes through the origin and is parallel to a line with a slope of 2.

To find : The point-slope form of the line ?

Solution :

Point-slope is the general form for linear equations.

Where, m is the slope of the line and are the points passes through the line.

We have given, The line passes through the origin.

i.e,

So, The equation of the line became

Then, We have given that line is parallel to a line with a slope of 2.

When two lines are parallel there slopes are equal.

∴ m=2

Therefore, The required point slope form is y=2x.