Business Straight Lines & X & Y Axis Exam Practice

Question 1

If a straight line passes through the point X=8 and Y=5 and also through the point X=11 and Y=15, what is the slope of this line? If your answer is a fraction, round to two decimal places.

Question 2

Suppose that on average there are four more car accidents for every extra inch of snowfall in Pennsylvania. If snowfall is the variable on the Y-axis and car accidents is the variable on the X-axis, then if we graph this relationship, what is the slope of the line? If your answer is a fraction, round to two decimal places.

Question 3

Given a linear relationship, if the value on the Y-axis changes from 44 to 37 when the value on the X-axis changes from 21 to 24, then what is the slope of the line? If your answer is a fraction, round to two decimal places.

Question 4

Suppose you are given the equation Y = 16 + 3X. If Y is on the vertical axis and X is on the horizontal axis, then what is the slope?

Question 5

Suppose you are given the equation Y = 6 – 0.7X. If Y is on the vertical axis and X is on the horizontal axis, then what is the vertical intercept?

Question 6

Suppose you are given the equation X = 6 – 1Y. If Y is on the vertical axis and X is on the horizontal axis, then what is the slope? If your answer is a fraction, round to two decimal places.

Question 7

Suppose you are given the equation X = 22 – 4Y. If Y is on the vertical axis and X is on the horizontal axis, then what is the vertical intercept? If your answer is a fraction, round to two decimal places.

Question 8

Suppose you are given the equation Y = 8 + 3X. If X is equal to 7, what is the value of Y?

Question 9

Suppose you are given the equation Y = 24 – 3X. If Y is equal to 16, what is the value of X? If your answer is a fraction, round to two decimal places.

Question 10

Suppose you own a cupcake shop and have gathered data on the number of cupcakes you sell each month at different prices. This data is represented in the table below:

Prices for Cupcakes

Price Number of Cupcakes Sold

$2 50

$4 40

$6 30

Assuming a linear relationship, if you were to raise your price to $8 next month, how many cupcakes could you expect to sell?

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