If a line has slope 3 and passes through the point (0, -2), what is its y-intercept?

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Multiple Choice

If a line has slope 3 and passes through the point (0, -2), what is its y-intercept?

Explanation:
The y-intercept is the value of y when x is 0, which is the constant term b in the slope-intercept form y = mx + b. With a slope of 3, the line is y = 3x + b. Since it passes through (0, -2), substitute x = 0 and y = -2: -2 = 3(0) + b, so b = -2. Therefore the y-intercept is -2. Values like 0, 2, or -3 would place the line crossing the y-axis at a different height and wouldn’t pass through the given point.

The y-intercept is the value of y when x is 0, which is the constant term b in the slope-intercept form y = mx + b. With a slope of 3, the line is y = 3x + b. Since it passes through (0, -2), substitute x = 0 and y = -2: -2 = 3(0) + b, so b = -2. Therefore the y-intercept is -2. Values like 0, 2, or -3 would place the line crossing the y-axis at a different height and wouldn’t pass through the given point.

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