A line with slope -2 passes through (4,6). What is its equation in slope-intercept form?

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Multiple Choice

A line with slope -2 passes through (4,6). What is its equation in slope-intercept form?

Explanation:
The line’s equation in slope-intercept form is found by using y = mx + b. With slope m = -2, plug in the point (4, 6) to solve for b: 6 = -2(4) + b, so b = 14. Therefore the equation is y = -2x + 14. This fits both conditions: the slope is -2 and the line passes through (4, 6). The other forms would not give y = 6 when x = 4 or would have a different slope, so they don’t satisfy the given conditions.

The line’s equation in slope-intercept form is found by using y = mx + b. With slope m = -2, plug in the point (4, 6) to solve for b: 6 = -2(4) + b, so b = 14. Therefore the equation is y = -2x + 14.

This fits both conditions: the slope is -2 and the line passes through (4, 6). The other forms would not give y = 6 when x = 4 or would have a different slope, so they don’t satisfy the given conditions.

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