Slope-Intercept Form Answers
Explain how to determine what the y-intercept is and where it would be located on the graph.
the line intersects the y axis at (0,12)
Which did you include in your answer?
Linear equation = y = 275x – 3000y = -3x + 2750✔ y = -275x + 3000y = 3x + 1
y = 8x – 12✔ y = 8x + 12y = 12x – 8y = 12x + 8
The instructor makes $ a month.
472
The equation y = 8x + 12, where x is the number of hours and y is the total cost, represents what the surf instructor charges for lessons. Use this information to describe how to draw the line on a graph.
count up 8 and 1 to the right to 1,20
For the new year, the instructor is thinking of changing his rates. The equation of the possible new rates is represented in the graph. What is the y-intercept of the instructor's new rates?
After working for a few years, the instructor has $3,500 saved for rent. He rents an apartment that costs $275 a month. Which graph represents the equation of the scenario?
The instructor had saved $3,500 and rents an apartment for $275 monthly. He believes the point (6, 1850) would be on the equation of the line. Is he correct? Explain how to check if a point is on a line.
First, write the equation for the line in slope-intercept form: y = -275x + 3500, where -275 is the monthly rent and 3500 is the initial savings. To check if the point (6, 1850) is on the line, substitute x = 6 and y = 1850 into the equation. 1850 = -275(6) + 3500 1850 = -1650 + 3500 1850 = 1850 Since the equation is true, the instructor is correct; the point is on the line.
y-intercept = 012725✔ 3000
y = 8x – 12✔ y = 8x + 12y = 12x – 8y = 12x + 8
For the new year, the instructor is thinking of changing his rates. The equation of the possible new rates is represented in the graph. What is the y-intercept of the instructor's new rates? (, )
The instructor had saved $3,500 and rents an apartment for $275 monthly. He believes the point (6, 1850) would be on the equation of the line. Is he correct? Explain how to check if a point is on a line.
First, write the equation for the line in slopeintercept form: y 275x 3500, where 275 is the monthly rent and 3500 is the initial savings. To check if the point (6, 1850) is on the line, substitute x 6 and y 1850 into the equation. 1850 275(6) 3500 1850 1650 3500 1850 1850 Since the equation is true, the instructor is correct; the point is on the line.
Which did you include in your answer?
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8
Sample Answer: Write the equation using slope and y-intercept in slope-intercept form, y = –275x + 3500. Then, substitute the x and y values of the point into the equation, 1850 = –275(6) + 3500. Simplify to see if both sides are equivalent. Yes, the instructor is correct because both sides are equivalent. Which did you include in your answer?Write the equation, y = –275x + 3500.Substitute x and y values into the equation, 1850 = –275(6) + 3500.Yes, he is correct because 1850 = 1850.
Slope = ✔ –275–33275
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Which did you include in your answer?
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