Question

Use the graph to derive the equation y=mx for a line through the origin. simplify the numerical coefficient if needed

graph
3,3
8,8

Answer 1

To find the equation of a line passing through the origin, we first need to find the slope of the line using the two points given (3,3) and (8,8).

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

Now that we have the slope m = 1, the equation of the line passing through the origin is y = 1x. Simplifying, we get:

y = x

So, the equation of the line passing through the origin is y = x.