Compare Proportions from Graphs & Equations PracticeComplete this assessment to review what you’ve learned. It will not count toward your grade.2 of 52 of 5 ItemsQuestionUse the image to answer the question. An illustration shows quadrant four of a coordinate plane where the x-axis ranges from 0 to 6 in increments of one and the y-axis ranges from 0 to negative 6 in increments of one. The line passes through coordinates left parenthesis 0 comma 0 right parenthesis and left parenthesis 4 comma negative 6 right parenthesis.What is the rate of this graph?(
A) -2
B) -3/2
C) 2/3
D) 2
E) 3/2
To find the rate of the graph, we need to determine the change in y divided by the change in x.
The change in y is calculated by subtracting the y-coordinate of the first point from the y-coordinate of the second point: -6 - 0 = -6.
The change in x is calculated by subtracting the x-coordinate of the first point from the x-coordinate of the second point: 4 - 0 = 4.
Therefore, the rate of the graph is -6/4, which simplifies to -3/2.
So the answer is (B) -3/2.
To determine the rate of the graph, we need to calculate the slope of the line that passes through the given coordinates. The slope represents the rate of change between the x and y values.
To calculate the slope, we can use the formula:
slope = (change in y) / (change in x)
Given the coordinates:
Point 1: (0, 0)
Point 2: (4, -6)
Let's calculate the change in y and the change in x.
Change in y = y2 - y1 = -6 - 0 = -6
Change in x = x2 - x1 = 4 - 0 = 4
Now, we can substitute these values into the slope formula:
slope = (-6) / 4 = -3/2
Therefore, the rate of this graph is -3/2.
To determine the rate of this graph, we need to find the change in y-values divided by the change in x-values.
In this case, the graph passes through the coordinates (0,0) and (4,-6).
The change in y-values is -6 - 0 = -6, and the change in x-values is 4 - 0 = 4.
So, the rate of this graph is -6/4, which simplifies to -3/2.