Which of the following equations represent a line that has a slope of –5 and that passes through (2, –6)? Check all of the boxes that apply.
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2
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⇒ 40
Select the three equations that pass through the points (–4, –16) and (5, 2):
The slope-intercept form of its equation is y = 2x + 3✔ y = 2x – 6y = –2x + 3y = –2x – 6.
The point-slope form of its equation is ✔ y + 6 = 2(x – 0) y – 0 = 2(x + 3)y + 6 = –2(x – 0) y – 0 = –2(x – 3).
Six years after a tree was planted, its height was 7 feet. Nine years after it was planted, its height was 16 feet. Which of the following equations gives the height y, in feet, of the tree after x years if the tree grows at a constant rate? Check all of the boxes that apply.
Which equation represents the line that passes through the points (–4, 3) and (2, –12)?
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The slope of line p is X –2–1/2✔ 1/22.
The equation of line p is y = 1/2x + .
-10
Explain how you would write a two-variable linear equation for this situation.
To write the equation, I first identified the independent variable as the number of days (x) and the dependent variable as the number of petri dishes (y). The initial value is 185 petri dishes at 0 days, which represents the y-intercept (0, 185). Since the number of petri dishes decreases by 12 each day, the slope (m) is -12. Using the slope-intercept form, y = mx + b, the equation for this situation is y = -12x + 185.
Which of the following did your explanation include? Check all of the boxes that apply.
Describe how you would write the equation for the relationship between the number of photos ordered and the amount paid.
To write the equation, I would first identify the ordered pairs from the data provided: (5, 2.70), (11, 3.24), and (20, 4.05). Next, I would calculate the slope (m) by finding the ratio of the change in cost to the change in the number of photos. Using two points, the slope is 0.09. Finally, I would use the point-slope form or substitute the slope and one point into the slope-intercept form (y = mx + b) to solve for the y-intercept, resulting in the equation y = 0.09x + 2.25.
Which steps did you use in your solution? Check all of the boxes that apply.
⇒ 15
15
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19
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