The graphs of lines in the form y=mx always pass through the origin (0, 0). These graphs only differ in the rate of decrease or increase of the lines.
In Mathematics and Geometry, a proportional relationship is a type of relationship that produces equivalent ratios and it can be represented by the following mathematical equation:
y = mx
Where:
- y represents the y-variable.
- x represents the x-variable.
- m is the constant of proportionality.
Generally speaking, the characteristics for a graph that shows a proportional relationship or an equation in y = mx form include the following:
- "A straight line can be drawn through the points."
- "The line connecting the points passes through the origin (0, 0)."
In conclusion, the difference between the graphs of the form y = mx is the rate of decrease or increase of the lines.
Complete Question:
What do the graphs of lines in the form y=mx have in common? How might they differ?