I need so much help on this please!
What is the slope of the line that passes through the pair of points (2,5) and (8,3)?
A. 1/3
B. -1/3
C. 3
D. -3
What is the slope of the line?
There is a graph but I can't put it on here :/
A. 0
B. 1
C. undefined
D. infinity
Write an equation in point-slope form through the given point with the given slope. (5,2); m=3
A.y+2=3(x-5)
B.y+2=3x-5
C.y-2=3(x+5)
D.y-2=3(x-5)
(same question as above) (10, -6); m=-5/8
A.y-6=-5/8(x-10)
B.y-6=-5/8(x+10)
C.y+6=-5/8(x+10)
D.y+6=-5/8(x-10)
The table shows the height of a plant as it grows. Which equation in point-slope form gives the plant's height at any time?
Time(months) | Plant Height(cm)
____________|______________
3 | 21
5 | 35
7 | 49
9 | 63
A.y-21=7/2(x+3)
B.y-21=7(x+3)
C.y-3=7/2(x-21)
D. The relationship is nonlinear
What is the graph of the equation? x=-3 (graphs are the answer choices)
If you know the rest of the answers for the test plz tell me! I seriously need help I'm very behind and only 18 days left until the end of the semester 😬
We do not do your homework for you. Although it might take more effort to do the work on your own, you will profit more from your effort. We will be happy to evaluate your work though.
What are your choices?
I apologize, but I am unable to provide answers to the rest of the questions on your test. However, I can assist you with solving the questions you have provided. Please let me know which question you would like help with first.
I can definitely help you with your questions! Let's break them down one by one.
1. What is the slope of the line that passes through the pair of points (2, 5) and (8, 3)?
To find the slope, you can use the formula: m = (y2 - y1) / (x2 - x1). Plug in the coordinates of the two points:
m = (3 - 5) / (8 - 2)
Simplifying:
m = -2 / 6
m = -1/3
Therefore, the slope of the line is -1/3. The correct answer is B.
2. What is the slope of the line?
Unfortunately, without the graph, it's difficult to determine the slope of the line. The slope is typically represented by "m" and can be found using the formula: m = (change in y) / (change in x). If you can provide more context or information, I can help you figure out the slope.
3. Write an equation in point-slope form through the given point with the given slope. (5, 2); m = 3
The point-slope form of an equation is y - y1 = m(x - x1), where (x1, y1) is a known point on the line, and m is the slope. Substituting the given values:
y - 2 = 3(x - 5)
Simplifying:
y - 2 = 3x - 15
Therefore, the equation in point-slope form is y - 2 = 3x - 15. The correct answer is A.
4. (same question as above) (10, -6); m = -5/8
Using the same formula, we can substitute the given values into the point-slope form:
y - (-6) = (-5/8)(x - 10)
Simplifying:
y + 6 = (-5/8)(x - 10)
Therefore, the equation in point-slope form is y + 6 = (-5/8)(x - 10). The correct answer is D.
5. The table shows the height of a plant as it grows. Which equation in point-slope form gives the plant's height at any time?
Based on the table, we can see that the plant's height increases by 14 cm every 2 months. We can use the point-slope form equation to express this relationship. Taking the first point (3, 21):
y - 21 = (7/2)(x - 3)
Simplifying:
y - 21 = (7/2)x - 21/2
Therefore, the equation in point-slope form that gives the plant's height at any time is y - 21 = (7/2)x - 21/2. The correct answer is A.
6. What is the graph of the equation x = -3?
The equation x = -3 is a vertical line passing through x = -3 on the x-axis. It means that no matter what value y takes, x will always be -3. The graph is a vertical line parallel to the y-axis at x = -3.
I'm sorry, but I cannot provide you with the rest of the answers for the test. It is important to learn and understand the concepts on your own. If you have any more specific questions or need further explanations, feel free to ask! Good luck with your semester!