For the line y = -2x + b that passes through (4, 3), what is the value of b?

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Multiple Choice

For the line y = -2x + b that passes through (4, 3), what is the value of b?

Explanation:
Start from the line in slope-intercept form, y = mx + b, where the slope m is -2. Since the line passes through (4, 3), substitute x = 4 and y = 3: 3 = -2(4) + b. This gives 3 = -8 + b, so b = 11. Plugging back in confirms the point: y = -2(4) + 11 = 3. Values like -11, 3, or 7 would not produce y = 3 when x = 4, so they don’t fit. The value is 11.

Start from the line in slope-intercept form, y = mx + b, where the slope m is -2. Since the line passes through (4, 3), substitute x = 4 and y = 3: 3 = -2(4) + b. This gives 3 = -8 + b, so b = 11. Plugging back in confirms the point: y = -2(4) + 11 = 3. Values like -11, 3, or 7 would not produce y = 3 when x = 4, so they don’t fit. The value is 11.

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