In the equation y = 3x + 2, what is the y-intercept?

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Multiple Choice

In the equation y = 3x + 2, what is the y-intercept?

Explanation:
The y-intercept is found where the graph crosses the y-axis, which happens when x is zero. In a line written as y = mx + b, the intercept is the constant term b. Here, y = 3x + 2 has b = 2, so the line crosses the y-axis at y = 2, at the point (0, 2). Checking by substitution: if x = 0, y = 3(0) + 2 = 2. The numbers 0, 1, and 3 would place the crossing at (0,0), (0,1), or (0,3), none of which satisfy the equation. Therefore, the y-intercept is 2.

The y-intercept is found where the graph crosses the y-axis, which happens when x is zero. In a line written as y = mx + b, the intercept is the constant term b. Here, y = 3x + 2 has b = 2, so the line crosses the y-axis at y = 2, at the point (0, 2). Checking by substitution: if x = 0, y = 3(0) + 2 = 2. The numbers 0, 1, and 3 would place the crossing at (0,0), (0,1), or (0,3), none of which satisfy the equation. Therefore, the y-intercept is 2.

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