Final answer:
Kevin is correct that lines with the equation y=mx pass through (0,0) because their y-intercept is zero. These lines also pass through the point (1,m) since the slope is m. However, Kevin was incorrect about the line y=3x passing through (1, -3); it passes through (1, 3).
Step-by-step explanation:
Kevin is partially correct. The general form of the equation of a straight line is y=mx+b, where m is the slope of the line, and b is the y-intercept. For lines with equations in the form y=mx, the y-intercept (b) is zero because when x equals zero, y will also equal zero. Therefore, these lines will always pass through the point (0,0), also known as the origin. Moreover, when x equals 1, y will equal m, the slope of the line, so the line will pass through the point (1, m). However, Kevin made an error about the point related to the line with equation y=3x. This line should pass through the points (0,0) and (1,3), not (1, -3), because the slope m is 3, not -3. Each time the x term increases by one unit, the y term should rise by m units.