To find the slope (m) and y-intercept (b) of the linear function that passes through the points (0, 3) and (4, 0):
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Identify the points: The points you have are:
- Point 1: (0, 3) (This is the y-intercept, so b = 3)
- Point 2: (4, 0)
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Calculate the slope (m) using the formula: \[ m = \frac{y_2 - y_1}{x_2 - x_1} \] Using the coordinates of the points:
- \(y_1 = 3\)
- \(y_2 = 0\)
- \(x_1 = 0\)
- \(x_2 = 4\)
Plugging these values in: \[ m = \frac{0 - 3}{4 - 0} = \frac{-3}{4} \]
Thus, the slope is \(-\frac{3}{4}\), and the y-intercept is 3.
The correct choice is: The slope is Negative three-fourths, and the y-intercept is 3.
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