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# Choose the equation of the line passing through the point (2, 6) and parallel to y = -3x - 4.

Two different lines are parallel if they have the same slope.

The slope of the line y = -3x - 4 is -3.

Using the point-slope form of the equation of a line gives

y - 6 = -3(x - 2) .

The slope-intercept form is y = -3x + 12.

Another way to solve the problem is let y = -3x + b and determine b from the given point.

Amy,

Parallel lines have the same slope.  So you need to find a line with the same slope as the given line (y=-3x-4), and that goes through the point (2,6).  The equation for your given line is in slope-intercept (y=mx+b) form, so finding the slope m is straightforward.  If you need help calculating the equation for a line given a point and the line's slope, I'd be happy to answer a follow-up question.  John

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