I need help with this problem
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.
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