Find an equation of the line in slope-intercept form using the given information.
- (3, 4) with slope=23
slope=−1 containing (6, 0)
- containing (3.5, 1) and (9, 6)
slope=3, y−intercept =−1
slope=−13 containing (–3, –4)
- containing (0, 0) and (9, –8)
slope=53, y−intercept =6
- containing (5, 2) and (–6, –3)
slope=3 and f(6)=1
f(2)=−5 and f(−6)=3
slope=38 and f(1)=1
Find an equation of the line in point-slope form using the given information.
slope=m containing (x1,y1)
slope=12 containing (-7, 5)
slope=2 containing (7, 0)
Graph the following equations.
Find the equation of the line represented by the function below in point-slope form.
f(1)=−3 and f(6)=0
f(9)=2 and f(9)=−5
f(2)=0 and slope=83
Write the standard form of the equation of each line.
Write the standard form of the line for each equation using the given information.
- containing (0, –4) and (–1, 5)
slope=43 containing (3, 2)
slope=5 containing (5, 0)
- Find the slope and y−intercept of 7x+5y=16.
- Find the slope and y−intercept of 7x−7y=−14.
- Are 12x+12y=5 and 2x+2y=3 parallel, perpendicular, or neither?
- Are x=4 and y=−2 parallel, perpendicular, or neither?
- Are 2x+8y=26 and x+4y=13 parallel, perpendicular, or neither?
- Write an equation for the line perpendicular to y=3x+4 containing (–5, 1).
- Write an equation for the line parallel to y=x+5 containing (–4, –4).
- Write an equation for the line perpendicular to 9x+5y=25 containing (–4, 4).
- Write an equation for the line parallel to y=5 containing (–7, 16).
- Write an equation for the line parallel to x=0 containing (4, 6).
- Write an equation for the line perpendicular to y=−2 containing (10, 10).
- An Internet café charges $6.00 to use 65 minutes of their Wifi. It charges $8.25 to use 100 minutes. Suppose the relationship is linear.
- Write an equation to model this data in point-slope form.
- What is the price to acquire the IP address?
- How much does the café charge per minute?
- A tomato plant grows 12 inch per week. The plant was 5 inches tall when planted.
- Write an equation in slope-intercept form to represent this situation.
- How many weeks will it take the plant to reach 18 inches tall?
- Joshua bought a television and paid 6% sales tax. He then bought an albino snake and paid 4.5% sales tax. His combined purchases totaled $679.25.
- Write an equation to represent Joshua’s purchases.
- Graph all the possible solutions to this situation.
- Give three examples that would be solutions to this equation.
- Comfy Horse Restaurant began with a 5-gallon bucket of dishwashing detergent. Each day 14 gallon is used.
- Write an equation to represent this situation in slope-intercept form.
- How long will it take to empty the bucket?
- The data below shows the divorce rate per 1,000 people in the state of Wyoming for various years (source: Nation Masters).
YearRate (per 1,000 people)20005.820015.820025.420035.420045.320055.420065.320075.0
- Graph the data in a scatter plot.
- Fit a line to the data by hand.
- Find the line of best fit by hand.
- Using your model, what do you predict the divorce rate is in the state of Wyoming in the year 2011?
- Repeat this process using your graphing calculator. How close was your line to the one the calculator provided?
- The table below shows the percentage of voter turnout at presidential elections for various years (source The American Presidency Project).
Year% of Voter Turnout182857.6184478.9188477.5190865.4193256.9195660.6197255.21198850.15200455.27
- Draw a scatter plot of this data.
- Use the linear regression feature on your calculator to determine a line of best fit and draw it on your graph.
- Use the line of best fit to predict the voter turnout for the 2008 election.
- What are some outliers to this data? What could be a cause for these outliers?
- The data below shows the bacteria population in a Petri dish after h hours.
h hoursBacteria present0100120024003800416005320066400
- Use the method of interpolation to find the number of bacteria present after 4.25 hours.
- Use the method of extrapolation to find the number of bacteria present after 10 hours.
- Could this data be best modeled with a linear equation? Explain your answer.
- How many seconds are there in 3 months?
- How many inches are there in a kilometer?
- How many cubic inches are there in a gallon of milk?
- How many square meters are there in 100 acres?
- How many fathoms is 616 feet?