Answer:
1. Slope = 20
2. y-intercept = 60
Step-by-step explanation:
The slope of the line is found by dividing the change in y by the change in x or "rise over run":
[tex]\implies \textsf{slope}\:(m)=\dfrac{\textsf{change in $y$}}{\textsf{change in $x$}}=\dfrac{80-60}{2-1}=\dfrac{20}{1}=20[/tex]
The slope of the line for the given situation is the fee per class. Therefore, there is a $20 fee for each class a customer at the gym attends.
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The y-intercept is the y-value at the point at which the line intercepts the y-axis, so when x = 0.
From inspection of the given graph, y = 60 when x = 0.
[tex]\implies \textsf{$y$-intercept}=60[/tex]
The y-intercept of the line for the given situation is the membership fee for the gym. Therefore, the membership fee for the gym is $60.