Straight lines Questions

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Straight lines Solutions

A group of geometry students wrote the following definitions for parallel lines. Jennifer: Two lines that never intersect. Bethany: Two lines whose perpendicular distance between points remains constant. Darius: Two lines are parallel if and only if they lie in the same plane and corresponding points are equidistant. Which definition(s) is/are the most precise? a)Bethany b)Darius c)Jennifer d)All are precise definitions.

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1. A video on Tiktok was posted. on day 4 there was 6 views on day 10 there was 26 views make a point slope or slap-intercept equation with given data. 2. use the equation you have the find how many views on day 0. 3. Do you think this data is accurate.

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Straight lines Solutions

Eliminate the parameter t to find a simplified Cartesian equation of the form y = mx + b for x(t) = 3 - t y(t) = 18 – 4t The Cartesian equation is y = ___________.

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Straight lines Solutions

Assume that you don't know the commission rate, but you do know the actual amount of daily commission you earned and the total dollar value of the shoes you sold. Based on these values, you can derive a formula for the commission rate. Using the slope-intercept form of a line, write an equation to calculate the commission y, based on sales, x. Hint: The y-intercept will be zero since you get no commission if you have no sales.

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A company recently found out that the new mechanical equipment it needs currently costs $42,000. In 10 years it will be out of date and thus can then be scrapped for $6,000. Create a line that shows the depreciation relationship of the cost (C) over time (t) in years. Graph the line. What is the slop of the line? What are the x and y intercepts of your line and what do they represent? How much would it be worth if it they decided to get rid of if early, after 7 years?

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Find the equation (in slope-intercept form) of the line with the given slope that passes through the point with the given coordinates.slope: 1, ordered pair: (3,-5) Choose the correct answer from the options below. (A) y = 2x - 8 (B) y = - 8x + 1 (C) y = x -8 (D) y = x - 1/8

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You have a summer job that pays time and a half for overtime. That is, if you work more than 40 hours per week, your hourly wage for the extra hours is 1.5 times your normal hourly wage of $7. Is the slope an increasing or decreasing rate of change? What does this mean in the context of this situation?

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Do the points (0, -7), (-3,- 22) and (2,3) lie on the same line? Explain why or why not. (Hint: Find the slopes between the points). Do the three points lie on the same line? (A) Yes, because the slopes are not the same. (B) No, because the slopes are the same. (C) Yes, because the slopes are the same. (D) No, because the slopes are not the same.

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Straight lines Solutions

Find an equation of the line with the given slope and containing the given point. Write the equation using function notation. Slope 3; through (5,3) The equation of the line is f(x) =

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Straight lines Solutions

A small radio transmitter broadcasts in a 38 mile radius. If you drive along a straight line from a city 49 miles north of the transmitter to a second city 52 miles east of the transmitter, during how much of the drive will you pick up a signal from the transmitter?

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Straight lines Solutions

Find an equation of the line passing through the given points. Use function notation to write the equation. (-2,-4) and (-4,-3) f(x) = ___

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Straight lines Solutions

Find an equation of the line. Write the equation using function notation. Through (5, -3); perpendicular to 6y = x - 12.