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. savestylesformat instructions

Answer 1

Answer:

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 $y-y_1=m(x-x_1)$ for linear equations.

Where, m is the slope of the line and $(x_1,y_1)$ are the points passes through the line.

We have given, The line passes through the origin.

i.e, $(x_1,y_1)=(0,0)$

So, The equation of the line became

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

$y=mx$

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

$y=2x$

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

Answer 2

Point slope form is (y - y1) = m(x - x1), where m is a slope of 2, and x1 = 0 and y1 = 0 are our point at the origin. Therefore, we can plug in these values to get the point slope equation for our line: (y – 0) = 2*(x - 0)