Answer
The given statement is false.
Work Step by Step
Consider the equation\[y=mx+c\]
Here,\[m\] represents the slope and \[c\] represents the\[y\text{-}\operatorname{intercept}\]
It can be observed from the graph that the slope m and y intercept c in the equation can be equal.
The equation would be given as follows
Example:
Consider the equation:
\[y=2x+2\]
Here, we can see that the slope of equation is 2 and the \[y\text{-}\operatorname{intercept}\] of the equation is 2.
That is,
$Slope=y-intercept$
Hence, the provided statement is false and the correct statement is “The equation $y=mx+c$ shows that a line can have its slope and y-intercept equal."
