4.1-Writing Equations in slope-intercept form
4.2-Writing Equations in point-slope form
4.3-Writing Equations if Parallel and Perpendicular Lines
4.4- Scatter Plots and Lines of Fit
4.5- Analyzing Lines of Fit (Linear Regression)
100

Write and Equation of the line with a slope of 2 and a y-intercept of 9

y=2x+9

100

Write an equation in point-slope form of the line that passes through the given point and has the given slope: (2,1) m=2

y-1=2(x-2)

100

Determine which of the lines, if any, are parallel:

Line a: m=2

Line b: m=-1/2

Line c: m=2

Lines a and c are parallel since they have the same slope.

100

What is the grade point average of a student who spends 6 hours a week on homework?

GPA is 2.0 (that means you are borderline about to fail) Do more homework!

100

The table shows the durations x (in minutes) of several eruptions of the geyser Old Faithful and times y (in minutes) until the next eruption. Find the equation of the line of best fit, rounding to the nearest whole number

y=12x+35

200

Write an equation of the line in slope-intercept form (2 min) 

y=1/3x+2

200

Write an equation in slope-intercept form of the line shown


y=1/2x+1

200

Determine whether any of the lines below are perpendicular:Line a, b and c

y=-3x+2

y=1/3x+6

y=-1/3x-9

Lines a and b are perpendicular since their slopes are negative reciprocals (opposite reciprocals)

200

What kind of correlation is the graph representing?

The scatterplot shows no correlation

200

The table shows the number of x teachers and the number of y students in each of several schools. Find an equation of the line of best fit, rounding to the nearest whole number.

y=21x+42

300

Write an equation of the line that passes through given points: (3,1) and (0,10)

y=-3x+3

300

Write a linear function f with the given values: 

f(2)=-2,f(1)=1

f(x)=-3x+4

300

Write an equation of the line that passes through the given point and is perpendicular to the given line: 

(7,10); y=1/2x-9

y=-2x+24

300

This scatter plot shows the earned run averages and the winning percentages of eight pitchers on a baseball team. What tends to happen to the winning percentage as the earned runs average increases?

It decreases

300

Determine whether the model is a good line of fit for the data in the table.

No, the residual points are not evenly dispersed, they form a nonlinear pattern.

400

Write a linear function f with the given values

f(x)=1/2x

400

Tell whether the data in the table can be modeled by a linear equation. Explain and if possible write a linear equation that represents the data.

No, it cannot be modeled by a linear equation since the table does not have a constant rate of change.

400

Determine which of the lines, if any, are parallel or perpendicular. Explain.

None are parallel or perpendicular, as none of the lines have the same slope or slopes that are negative reciprocals.

400

The table shows the salaries y(in thousands of dollars) of 5 architects and their x years of experience. Write an equation that models their salaries. What kind of correlation is this?

This is a positive correlation y=2.9x+47.9 

400

The table shows the mileages x (in thousands of miles) and the selling prices y (in thousands of dollars) of several used automobiles of the same year and model. Find an equation of the line of best fit and find the mileage of an automobile that costs $15.5 thousand dollars.

 y=-0.2x+20 and 22,500 miles

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