Question

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)

Answers

Answered by GPT 3.5
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.
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