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Sagot :
Answer:
- The slope is 20 or 20/1
- The y-intercept is at (0,60)
- The slope of the line shows for every class, the cost of fees increases by $20 at the gym
- The y-intercept means that before a member can sign up for a class, they must pay a flat, one-time fee of $60
Step-by-step explanation:
- the slope-intercept formula is y = mx + b
- m = slope which is rise/run
for the slope, there is a formula that uses any two coordinates that are on the graph
y2-y1/x2-x1 - b= y-intercept which is where the graph crosses the y-axis
Finding Slope:
- the two coordinates that I will be choosing is (0,60) and (1,80)
- using the slope formula stated above, I will plug in my coordinates. It does not matter which coordinate you choose as #1 and which one as #2, you just need to make sure that you keep it consistent
- 80-60/1-0 = 20/1 = 20 is the slope
Finding Y-Intercept:
- If you look at the graph, there is a point that is on the y-axis which is at (0,60). This means that the y-intercept is at (0,60)
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.
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