The greater unit rate (slope) of the two functions is 2 (of the first function).
The greater y-intercept of the two functions is 6 (of the second function).
The unit rate (slope) of a linear function is the rise (or fall) in the independent variable for a unit change in the dependent variable.
When the linear function goes through the points (x₁, y₁) and (x₂, y₂), then the unit rate (slope) can be calculated as (y₂ - y₁)/(x₂ - x₁).
The first function goes through the points (0, 5) and (5, 15).
Thus unit rate (slope) of the first function = (15 - 5)/(5 - 0) = 2.
The second function goes through the points (0, 6) and (-4, 0).
Thus unit rate (slope) of the second function = (6 - 0)/(0 - (-4)) = 1.5.
Therefore, the greater unit rate (slope) of the two functions is 2 (of the first function).
The y-intercept of a linear function is the y-coordinate of the point at which the graph of the function intersects the y-axis. It is also shown as the point (0, b).
The y-intercept of the first function is 5, as it passes through the point (0, 5).
The y-intercept of the second function is 6, as it passes through the point (0, 6).
Therefore, the greater y-intercept of the two functions is 6 (of the second function).
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