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 formula for the point-slope form of the equation is y - y1 = m(x - x1), where m represents the slope and (x1, y1) represents a point on the line.
b. In this case, since the line passes through the origin (0,0), we can use x1 = 0 and y1 = 0. The slope m is given as 2.
c. Substituting the values into the formula, we have y - 0 = 2(x - 0). Simplifying further, we get 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.