Does the table or the graph represent a steeper slope?
Does the table or the graph have a bigger y-intercept?
What do I need help with?
graph has points on -4 -2 2 2
Table
X Y
2 2.50
3 3.75
5 6.25
7 8.75
To determine which representation has a steeper slope, you need to compare the rates of change between the points. In the table, the y-values increase by 1.25 for every increase of 1 in the x-values:
(3.75 - 2.50)/(3 - 2) = 1.25
(6.25 - 3.75)/(5 - 3) = 1.25
(8.75 - 6.25)/(7 - 5) = 1.25
In the graph, you need to find the change in y-values and divide it by the change in x-values for each pair of points:
(2 - (-2))/(2 - (-4)) = 4/6 = 0.67
(2 - (-2))/(2 - (-4)) = 4/6 = 0.67
Therefore, both the table and the graph have the same slope, which is 1.25 or 0.67 depending on the calculation method used.
To determine which representation has a bigger y-intercept, you need to identify the y-value when x equals zero, which is the point (0, y). Since the given data does not include an x-value of zero, we cannot determine the y-intercept from the information provided.
Based on the given information, it seems like you might need help with understanding how to determine slope and y-intercept from a table or a graph.