If the line through (1, 2) with slope 3 also passes through (0, b), what is b (the y-intercept)?

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Multiple Choice

If the line through (1, 2) with slope 3 also passes through (0, b), what is b (the y-intercept)?

Explanation:
When a line has slope m and intercept b, its equation is y = mx + b, and b is where the line crosses the y-axis. With slope 3 and the line passing through (1, 2), write the equation as y = 3x + b. Plug in x = 1 and y = 2: 2 = 3(1) + b, so b = 2 - 3 = -1. The line crosses the y-axis at -1, so the y-intercept is -1.

When a line has slope m and intercept b, its equation is y = mx + b, and b is where the line crosses the y-axis. With slope 3 and the line passing through (1, 2), write the equation as y = 3x + b. Plug in x = 1 and y = 2: 2 = 3(1) + b, so b = 2 - 3 = -1. The line crosses the y-axis at -1, so the y-intercept is -1.

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