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Multiple Choice

What is the slope of the linear function f(x) = 2x + 3?

The slope of a linear function in slope-intercept form y = mx + b is the coefficient in front of x. For f(x) = 2x + 3, that coefficient is 2, so the slope is 2. This means the graph rises 2 units for every 1 unit you move to the right. The constant term 3 is the y-intercept, where the line crosses the y-axis. The other values would correspond to different coefficients: 3 would mean a steeper rise with a coefficient of 3, -2 would indicate a downward (negative) slope, and 0 would describe a horizontal line with no rise.

The slope of a linear function in slope-intercept form y = mx + b is the coefficient in front of x. For f(x) = 2x + 3, that coefficient is 2, so the slope is 2. This means the graph rises 2 units for every 1 unit you move to the right. The constant term 3 is the y-intercept, where the line crosses the y-axis. The other values would correspond to different coefficients: 3 would mean a steeper rise with a coefficient of 3, -2 would indicate a downward (negative) slope, and 0 would describe a horizontal line with no rise.