A proportional relationship is shown in the table below:
xx 00 1.31.3 2.62.6 3.93.9 5.25.2
yy 00 11 22 33 44
what is the slope of the line that represents this relationship
graph the line that represents this relationship
To determine the slope of the line that represents the proportional relationship, we can use the formula:
slope = (change in y) / (change in x)
Let's calculate the slope using the given table:
x: 0 1.3 2.6 3.9 5.2
y: 0 1 2 3 4
(change in y) = 4 - 0 = 4
(change in x) = 5.2 - 0 = 5.2
slope = (change in y) / (change in x) = 4 / 5.2 ≈ 0.769
Therefore, the slope of the line that represents this proportional relationship is approximately 0.769.
Now, let's graph the line representing this relationship. We will plot the points (x, y) from the given table and connect them to create the line.
Coordinate points:
(0, 0), (1.3, 1), (2.6, 2), (3.9, 3), (5.2, 4)
On a graph, plot these points on the x-y plane according to their respective coordinates. Once all the points are marked, connect them with a straight line.
The graph should show a line that passes through the points (0, 0), (1.3, 1), (2.6, 2), (3.9, 3), and (5.2, 4). The line will have a positive slope since the relationship is proportional.