I am stuck in the Unit 4 lesson 8 test. Proportional relationship unit test.
Question 13 is a graph with x, y and the question is what is the slope of the line above? I answered m=2 Which equation represents the line above? i answered y=2x-1. For 14 if the following line was translated up 4 units, what would the slope of the new line be? I choose 4/2 Any help will be greatly appreciated!
Cannot see graph to evaluate your work. Cannot copy and paste here.
X=2, y=-1
To answer your questions:
13. To find the slope of a line from a graph, you need to identify two points on the line. One way to do this is by looking at the coordinates of any two points on the line. Let's assume (x1, y1) = (0, -1) and (x2, y2) = (1, 1).
The slope (m) of the line can be calculated using the formula: m = (y2 - y1) / (x2 - x1). Plugging in the values:
m = (1 - (-1)) / (1 - 0)
= 2 / 1
= 2
Therefore, the slope of the line above is 2.
14. If a line is translated upward by 4 units, the slope of the new line remains the same. So, the slope of the new line would still be 2. It is worth noting that translation only affects the position of the line, not its slope.
Let me know if you need any further assistance!
Sure! I'll be happy to help you with your questions.
For question 13, you're asked to find the slope of the line represented by the graph. To calculate the slope, you need to find the change in the y-coordinates divided by the change in the x-coordinates of any two points on the line.
To determine the slope of the line, you need to choose any two points on the line and calculate the difference in their y-coordinates divided by the difference in their x-coordinates. From the graph, identify two points on the line and calculate the slope using the formula:
slope = (change in y) / (change in x)
Please double-check your calculations with the given points on the graph, and make sure to calculate the slope accurately.
For question 14, you're given a line and asked about its new slope after it is translated up 4 units. When a line is translated vertically (either up or down), the slope of the line remains unchanged. Therefore, the slope of the new line will be the same as the slope of the original line.
So, for question 14, the slope of the new line will still be the same as the slope of the original line.
I hope this helps you understand the process to find the slope of a line and how translations affect the slope. Let me know if you have any further questions or need additional clarification!