If a linear function passes through points (0, 3) and (4, 11), what is its slope?

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Multiple Choice

If a linear function passes through points (0, 3) and (4, 11), what is its slope?

Explanation:
Slope is the rise over the run—the change in y divided by the change in x. From (0, 3) to (4, 11), the rise is 11 − 3 = 8 and the run is 4 − 0 = 4, so the slope is 8/4 = 2. This means the line goes up by 2 for every 1 unit to the right, and the equation would be y = 2x + 3, which checks out at both given points: x = 0 gives y = 3, and x = 4 gives y = 11. Other slopes wouldn’t place the line through both points (for example, a slope of 1 would give y = x + 3, which yields y = 7 at x = 4; a slope of 3 would give y = 3x + 3, which yields y = 15 at x = 4, etc.).

Slope is the rise over the run—the change in y divided by the change in x. From (0, 3) to (4, 11), the rise is 11 − 3 = 8 and the run is 4 − 0 = 4, so the slope is 8/4 = 2. This means the line goes up by 2 for every 1 unit to the right, and the equation would be y = 2x + 3, which checks out at both given points: x = 0 gives y = 3, and x = 4 gives y = 11. Other slopes wouldn’t place the line through both points (for example, a slope of 1 would give y = x + 3, which yields y = 7 at x = 4; a slope of 3 would give y = 3x + 3, which yields y = 15 at x = 4, etc.).

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