Algebra Unit 4 CUA Review

Which equation represents the line that passes through the point (5, 7) and is parallel to the graph of

 $y=\frac{2}{3}x-7$  ?

•  $y=\frac{2}{3}x+\frac{11}{3}$  

•  $y=\frac{2}{3}x+\frac{1}{3}$  

•  $y=-\frac{3}{2}x+\frac{31}{2}$  

•  $y=-\frac{3}{2}x+\frac{29}{2}$  

Which relationship is an example of causation?

• Running longer increases the number of calories burned.

• The more education a person has, the higher their income.

• Students who watch a lot of television will have lower grades.

• College students with higher entrance exam scores also have higher grades.

What is the equation of the line that contains the points (3, 5) and (7, 9)?

• $y=2x–1$

• $y=x+2$

• $y=x–2$

• $y=2x–5$

Which of the following equations has a slope of −4 and goes through the point (−3, 6)?

• $y-3=-4\left(x+6\right)$

• $y+3=-4\left(x-6\right)$

• $y-6=-4\left(x+3\right)$

• $y+6=-4\left(x-3\right)$

Given a line that has a y-intercept of 6 and an x-intercept of -2, write an equation for the line.

• $y=\frac{1}{3}x-2$

• $y=3x-2$

• $y=\frac{1}{3}x+6$

• $y=3x+6$

The table above shows the results of an experiment.

Which is the best equation of a line of best fit for the data shown in the table?

• $y=0.4x–19.5$

• $y=0.6x–31.8$

• $y=−31.8x+0.6$

• $y=−19.5x+0.4$

The data in the table can be entered into a calculator to determine a linear equation of best fit where x represents the number of years with a company and y represents an employee’s salary in dollars.

What conclusion can be drawn from the correlation coefficient associated with this linear equation?

• There is a strong negative correlation between the variables.

• There is a strong positive correlation between the variables.

• There is a weak negative correlation between the variables.

• There is a weak positive correlation between the variables.

Which expression below best describes the graph above?

• $y=\frac{2}{3}x+2$

• $y=-\frac{2}{3}x+3$

• $y=-\frac{2}{3}x+2$

• $y=\frac{2}{3}x+3$

Which is the equation of a line that has a slope of zero and goes through (3,7)?

• $x=3$

• $x=7$

• $y=3$

• $y=7$

Which of the following equations represents a line perpendicular to the graph of the equation y = 5x–2 and passes through the point (5,–3)?

• $y=-\frac{1}{5}x-3$

• $y=\frac{1}{5}x+2$

• $y=-\frac{1}{5}x-2$

• $y=\frac{1}{5}x+3$