If a graph is a straight non-verticle line, is it the graph of a function? Use complete sentences to explain your reasoning.
A non vertical straight line on rectangular grid graph paper (not log paper or polar graph paper) is the graph of a function of form y = m x + b where m is the constant slope of the straight line and b is where the line hits the y axis.
Thanks, but I'm confused.
To determine if a straight, non-vertical line is the graph of a function, we need to apply the vertical line test. The vertical line test states that if any vertical line passes through the graph of a relation at more than one point, then the relation is not a function.
In the case of a straight, non-vertical line, a vertical line will intersect the graph at only one point. This means that for any x-coordinate, there is exactly one corresponding y-coordinate on the line. Therefore, a straight non-vertical line does pass the vertical line test, making it the graph of a function.