Question

Write the point-slope form of the equation of the line that passes through the origin and has a slope of 2. Include your

Answer 1

Answer:

Point Slope Form:  $y-0=2(x-0)$

Simplified Form:  $y=2x$

Step-by-step explanation:

The point-slope form of line is given by:

$y-y_1=m(x-x_1)$

Where

m is the slope

$x_1$  is the first x-coordinate

$y_1$  is the first y-coordinate

Given slope is 2, thus we can say:

m = 2

Also, it says the line goes through the point (0,0), so:

$x_1=0$

and

$y_1=0$

Now, substituting, we get the point slope form to be:

$y-y_1=m(x-x_1)\\y-0=2(x-0)\\y=2(x)\\y=2x$

That's the answer.