Use the graph to derive the equation y = Mx for a line through the origin. Simplify the numerical coefficient, if needed. (The graph shows (8, 8) and (3, 3)

Answer 1

To find the equation of the line through the origin that passes through the points (8, 8) and (3, 3), we first need to find the slope of the line:

Slope (M) = (y2 - y1) / (x2 - x1)
= (3 - 8) / (3 - 8)
= -5 / -5
= 1

Now that we have the slope, we can write the equation of the line through the origin in slope-intercept form (y = mx + b), where b is the y-intercept. Since the line passes through the origin, the y-intercept is 0.

Therefore, the equation of the line is y = 1x, or simply y = x.