Answer:
The slope is 10. The Y-Intercept is 50.
Step-by-step explanation:
In the word equation, it tells you that you spend $10 A DAY on the latte. The slope can be a rate of change, or how much something changes on a steady basis. That is why 10 is the slope.
Because you start with 50 dollars in your piggy bank, you can imagine that that is the starting point on the graph. Then, you spend 10 per day, which means it is a negative slope. The first point is always the point that intersects the y-axis, otherwise known as the y-intercept. Let me know if you have more questions!
Answer:
slope = -10
y-intercept = 50
y = -10x + 50
Step-by-step explanation:
Let x = number of days
Let y = money in piggy bank
Create 2 ordered pairs from the given information.
initial amount of $50 in piggy bank = (0, 50)
amount in piggy bank after 1 day = (1, 40)
(since 10 is spent each day)
Slope formula: [tex]m=\dfrac{\textsf{change in} \ y}{\textsf{change in} \ x}[/tex]
Therefore, [tex]m=\dfrac{40-50}{1-0}=-10[/tex]
So the slope is -10
y-intercept is where the line crosses the y-axis, so when x = 0.
We already know that y = 50 when x = 0, therefore the y-intercept is 50.
Therefore, the final equation for the line is: y = -10x + 50
