Question
Use 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?(1 point)
The rate of a graph can be determined by calculating the change in the y-coordinates divided by the change in the x-coordinates.
In this case, the coordinates given are (0,0) and (4,-6).
The change in the y-coordinate is -6 - 0 = -6.
The change in the x-coordinate is 4 - 0 = 4.
Therefore, the rate of this graph is -6/4 = -3/2.
To find the rate of the graph, we need to determine the change in the y-coordinate (vertical change) divided by the change in the x-coordinate (horizontal change) between two points on the line.
Given that the line passes through the coordinates (0, 0) and (4, -6), we can calculate the rate as follows:
Change in y-coordinate = -6 - 0 = -6
Change in x-coordinate = 4 - 0 = 4
Rate = Change in y-coordinate / Change in x-coordinate
= -6 / 4
= -1.5
Therefore, the rate of this graph is -1.5.
To determine the rate of the graph, we need to find the slope of the line passing through the given coordinates. The slope of a line is calculated using the formula:
slope = (change in y-coordinates)/(change in x-coordinates)
Let's calculate the slope using the provided coordinates (0,0) and (4, -6).
Change in y-coordinates = -6 - 0 = -6
Change in x-coordinates = 4 - 0 = 4
slope = (-6)/(4) = -3/2
Therefore, the rate of the graph (slope) is -3/2.