If a graph shows a linear equation y = 3x + 2, what is the value of y when x = 4?

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Multiple Choice

If a graph shows a linear equation y = 3x + 2, what is the value of y when x = 4?

Explanation:
Evaluating a linear function by substitution. In y = mx + b, you substitute the given x value to find y, using the slope m and the y-intercept b. Here, y = 3x + 2. The slope is 3 and the intercept is 2. Substitute x with 4: y = 3(4) + 2 = 12 + 2 = 14. A quick check: increasing x by 1 raises y by 3, so going from x = 0 (where y = 2) to x = 4 adds 12 to y, giving 14. The value is 14.

Evaluating a linear function by substitution. In y = mx + b, you substitute the given x value to find y, using the slope m and the y-intercept b.

Here, y = 3x + 2. The slope is 3 and the intercept is 2. Substitute x with 4: y = 3(4) + 2 = 12 + 2 = 14.

A quick check: increasing x by 1 raises y by 3, so going from x = 0 (where y = 2) to x = 4 adds 12 to y, giving 14. The value is 14.

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