graphing proportional relationships QuickChek use the graph to derive the equation Y equals MX for a line through the origin simplify the numerical coefficient if needed
To derive the equation Y=MX for a line through the origin from a graph showing a proportional relationship, we need to find the slope (M) of the line.
The slope of a line can be found by taking any two points on the line and using the formula:
M = (change in y) / (change in x)
In the case of a line through the origin, the origin is one of the points, so we can choose another point on the line to calculate the slope.
After finding the slope, the equation of the line in the form Y=MX can be written using the slope value.
If the slope is a whole number, no simplification is needed. If the slope is a fraction, it can be simplified if possible.