Describe and correct the error in finding the slope and the y-intercept of the graph of the equation.
1 answer:
Answer:
The error is the slope is -4 and the correct is, the slope is
Step-by-step explanation:
You must put the equation in the form of y = m x + b, where
- m is the slope
- b is the y-intercept
Let us put the equation n the form above
∵ x = -4y
→ Switch the two sides
∴ -4y = x
→ Make the coefficient of y equal 1 by divide both sides by -4
∵ =
∴ y =
→ Write as
x
∴ y = x
→ Compare it by the form above
∴ m = and b = 0
∴ The slope of the is , and the y-intercept is 0
∴ The error is the slope is -4 and the correct is the slope is
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I got D.
There's a few ways to solve it; I prefer using tables, but there are functions on a TI-84 that'll do it for you too. The logic here is, you have a standard normal distribution which means right away, the mean is 0 and the standard deviation is 1. This means you can use a Z table that helps you calculate the area beneath a normal curve for a range of values. Here, your two Z scores are -1.21 and .84. You might notice that this table doesn't account for negative values, but the cool thing about a normal distribution is that we can assume symmetry, so you can just look for 1.21 and call it good. The actual calculation here is:
1 - Z-score of 1.21 - Z-score .84 ... use the table or calculator
1 - .1131 - .2005 = .6864
Because this table calculates areas to the RIGHT of the mean, you have to play around with it a little to get the bit in the middle that your graph asks for. You subtract from 1 to make sure you're getting the area in the middle and not the area of the tails in this problem.
