What is the y-intercept of (5,8) and (12,36)
2 answers:
Answer:
(0, -12)
Step-by-step explanation:
In order to find the y-intercept of the equation y = mx + b ( where m is the slope and b is the y-intercept), we first have to find the slope. We can do this by using the two points given to us.
To find the slope:
The slope is equal to:
Let's plug (5,8) and (12,36) into the equation:
Now let's solve for the slope:
36 -8 = 28
12 - 5 = 7
So we get:
Now that we've found the value of the slope, we can put it into the equation:
y = x + b
To find the value of b, we can input the values of one of the given points into the equation and solve for b. Let's use (5,8):
Input the values of x and y into the equation: 8 = (5) + b
Multiple by 5: 8 =
+ b
Divide 140 by 7: 8 = 20 + b
Subtract 20 from both sides of the equation to isolate b:
8 - 20 = 20 - 20 + b
-12 = b
The y-intercept is (0, -12).
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Answer:
Option B
Step-by-step explanation:
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Demand point
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Option B
Answer:
<h3>There is a constant of variation in the equation and it is 750. This means that the amount olivia earns increases by $750 every week.</h3>Step-by-step explanation:
Given the equation y = 750x which represents the number of dollars y Olivia earns in x weeks, from the equation, it can be inferred that the number of dollars olivia earns is DIRECTLY PROPORTIONAL to the number of weeks. This relationship is therefore a direct variation.
In direct variation, increase in a variable will lead to corresponding increase in the other variable and vice versa by a factor known as the constant of variation.
For example if y is directly proportional to x, it is written mathematically as shown;
where k is the constant of proportionality.
comparing the general expression above with the equation in question,
y = 750x
k = 750
Therefore we can conclude that there is a constant of variation in the equation and it is 750. This means that the amount olivia earns increases by $750 every week.