Use the graph to derive the equation Y equals MX for a line through the origin, simplify the numerical coefficient if needed
Y equals 8X
Y equals 3X
Y equals X
Y equals 3 over 3X
Since the line passes through the origin, the general equation form is Y = MX, where M is the slope.
From the graph, it can be seen that the line passes through the origin and has a slope of 8. Therefore, the equation of the line is Y = 8X.
Similarly, for the other lines:
- The line passing through the origin with a slope of 3 has the equation Y = 3X.
- The line passing through the origin with a slope of 1 has the equation Y = X.
For the line with the equation Y = 3/3X, we need to simplify the coefficient:
Y = 3/(3X)
= 1/X
Therefore, the equation of the line through the origin is Y = X.