use the equation y = mx for a line through the origin to explain how y = x on this graph
points on the graph 3,3 and 8,8
The equation y = mx represents a line that passes through the origin, where m is the slope of the line. When the points (3,3) and (8,8) are plotted on a coordinate plane, they create a straight line that passes through the origin. This implies that the slope of the line, denoted by m, is equal to 1 since the line goes through both points and is increasing at a 45-degree angle.
Therefore, the equation of the line passing through the origin and the points (3,3) and (8,8) is y = x. This means that for every value of x, y will be equal to x, which is evident from the given points.