Slope-Intercept Form

Question 1

Explain how to determine what the y-intercept is and where it would be located on the graph.

Revolt · Accepted Answer

the line intersects the y axis at (0,12)

Question 2

Which did you include in your answer?

Revolt · Accepted Answer

The y-intercept is the y-coordinate of the point at which the line intersects the y-axis.; The line intersects the y-axis at (0, 12).; The y-intercept in slope-intercept form is b, which is 12 in the given situation.; The y-intercept represents the initial value, which in this case is $12.

Question 3

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.

Revolt · Accepted Answer

count up 8 and 1 to the right to 1,20

Question 4

Which did you include in your answer?

Revolt · Accepted Answer

Use from (0, 12).; 8 up and 1 to the right to (1, 20); Draw a line through the points (0, 12), (1, 20).; Verify the equation by testing an additional point.

Question 5

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?

Revolt · Accepted Answer

"0"; "8"

Question 6

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?

Revolt · Accepted Answer

Answer image: https://r14.core.learn.edgenuity.com//media.edgenuity.com/EVresources/3108-02-05-25-06-task/mc001-3.jpg

Question 7

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.

Revolt · Accepted Answer

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.

Question 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.

Revolt · Accepted 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.

Question 9

y-intercept = 012725✔ 3000

Revolt · Accepted Answer

3000; Selection 1: 3000; Selection 2: –275; Selection 3: y = -275x + 3000

Slope-Intercept Form Answers

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