Find the point-slope form of the line that passes through given the point and has the given slope.Include your work in your final answer. Type your answer in the box provided or use the upload option to submit your solution.

(0, 0)
m = 2

y-0 = 2(x-0)

y = 2x

Write the slope-intercept form of the given line. Include your work in your final answer. Type your answer in the box provided or use the upload option to submit your solution.

The point-slope form of a line is given by the equation y - y1 = m(x - x1), where (x1, y1) is the given point and m is the slope.

In this case, the given point is (0, 0) and the slope is 2. So we have:

y - 0 = 2(x - 0)

Simplifying the equation:

y = 2x

Therefore, the point-slope form of the line passing through the point (0, 0) with a slope of 2 is y = 2x.

To find the point-slope form of a line passing through a given point with a given slope, you can use the formula:

y - y1 = m(x - x1)

where (x1, y1) denotes the coordinates of the given point, and m is the given slope.

In this case, the given point is (0, 0), and the slope is 2. Plugging these values into the formula, we get:

y - 0 = 2(x - 0)

Simplifying, we have:

y = 2x

Therefore, the point-slope form of the line passing through the point (0, 0) with a slope of 2 is y = 2x.