Using linear function concepts, it is found that:
- The slope of the line given in the table is of -1.5.
- The slope of the line given in the graph is of 0.67.
- The linear function in the table has a negative slope.
- Due to the higher absolute value of the slope, the function in the table has a steeper slope.
What is a linear function?
A linear function is modeled by:
y = mx + b
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.
Given two points, the slope is given by change in y divided by change in x, hence:
- For the table, the slope is of m = (5.5 - 8.5)/(-1 - (-3)) = -1.5, which is a negative value.
- For the graph, the slope is of m = (2 - 0)/(0 - (-3)) = 0.67.
Due to the higher absolute value of the slope, the function in the table has a steeper slope.
More can be learned about linear function concepts at https://brainly.com/question/24808124
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