12.2 CW/HW
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Find an equation of the line given a point & the slope. Write in point-slope form.
Find an equation of the line given a point & the slope. Write in point-slope form.
Determine the slope and a point on the line for each equation.
Determine the slope and a point on the line for each equation.
USE THE FOLLOWING INFORMATION TO ANSWER THE NEXT 5 QUESTIONS:
The town of San Simon charges its residents for trash pickup and water usage on the same bill. Each month the city charges a flat fee for trash pickup and a fee of $0.25 per gallon for water used. In January, one resident used 44 gallons of water, and received a bill for $16.
If x is the number of gallons of water used during a month, and y represents the bill amount in dollars, write a point (x1, y1).
What does $0.25 per gallon represent?
Reason abstractly. Use point-slope form to write an equation that represents the bill cost y in terms of the number of gallons of water x used in a month.
Write the equation from #7 in slope-intercept form.
What does the y-intercept represent in the context of this problem?
Find the equation in point-slope form of the line shown in the graph.
Write the equation of the line graphed in #10 in slope-intercept form.
Write the equation of the line through the points (0, 8) and (-1, 10) in point-slope form.
Rewrite each student’s equation in slope-intercept form and compare the results.
Whose equation was correct? Justify your response.
Jay pays a flat fee each month for basic cable service. He also pays $3.50 for each movie he orders during the month. Last month, he ordered 5 movies and his total bill came to $54.
Write an equation in point-slope form that represents the total bill, y, in terms of the number of movies, x.
Based on your answer from #16, write the equation in slope-intercept form.