Write the point-slope form of the equation of the line that passes through the origin and has a slope of 2.
a. Using variables, write out the formula for the point-slope form of the equation.
b. Identify the values for m, x1, and y1.
c. Fill these values into the point-slope form of the equation from part (a), and simplify as needed.
Use the box provided to submit all of your calculations and final answers.
a. The point-slope form of the equation of a line is given by: y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope.
b. In this case, the line passes through the origin, which means the point (x1, y1) is (0, 0). The slope, m, is given as 2.
c. Plugging these values into the point-slope form equation, we have y - 0 = 2(x - 0), which simplifies to y = 2x.
Therefore, the point-slope form of the equation of the line that passes through the origin and has a slope of 2 is y = 2x.