If a linear function passes through (0,-4) and (2,0), what is its slope?

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Multiple Choice

If a linear function passes through (0,-4) and (2,0), what is its slope?

Explanation:
Slope measures how much y changes per unit of x, called rise over run. Use the two given points on the line: from (0, -4) to (2, 0), the rise is 0 − (−4) = 4 and the run is 2 − 0 = 2. So the slope must be 4/2 = 2. This positive slope shows y increases as x increases. The line crosses the y-axis at -4, and the other options would imply different changes in y over the same run (for example, a slope of 1 would land at (2, -2), a slope of 0 would keep y constant at -4, and a slope of -2 would head to (2, -8)). The slope here is 2.

Slope measures how much y changes per unit of x, called rise over run. Use the two given points on the line: from (0, -4) to (2, 0), the rise is 0 − (−4) = 4 and the run is 2 − 0 = 2. So the slope must be 4/2 = 2. This positive slope shows y increases as x increases. The line crosses the y-axis at -4, and the other options would imply different changes in y over the same run (for example, a slope of 1 would land at (2, -2), a slope of 0 would keep y constant at -4, and a slope of -2 would head to (2, -8)). The slope here is 2.

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