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.
a. The point-slope form of the equation of a line is given by y - y1 = m(x - x1). In this case, since the line passes through the origin, the coordinates of the point (x1, y1) would be (0,0). Thus, the equation becomes y - 0 = 2(x - 0).
b. In the given equation, m is the slope and has a value of 2. The coordinates of the point (x1, y1) are (0,0).
c. Substituting the values into the equation from part (a), the equation becomes y - 0 = 2(x - 0). Simplifying further, we have y = 2x.