Which equation represents the linear function with slope 2 and passing through (1,14)?

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Multiple Choice

Which equation represents the linear function with slope 2 and passing through (1,14)?

Explanation:
Use the slope-intercept idea: a line is y = mx + b. The given slope is 2, so y = 2x + b. Plug in the point (1, 14): 14 = 2(1) + b, so b = 12. The equation is y = 2x + 12, which in function form is g(x) = 2x + 12. Lines with a different intercept or a different slope wouldn’t pass through (1, 14), so they don’t fit.

Use the slope-intercept idea: a line is y = mx + b. The given slope is 2, so y = 2x + b. Plug in the point (1, 14): 14 = 2(1) + b, so b = 12. The equation is y = 2x + 12, which in function form is g(x) = 2x + 12. Lines with a different intercept or a different slope wouldn’t pass through (1, 14), so they don’t fit.

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