John M. | Analytical assistance -- Writing, Math, and moreAnalytical assistance -- Writing, Math, ...

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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

Parallel lines have the same slope. To find the slope of the line they gave you, put the equation into slop-intercept form. This is y = mx + b. y = -3x - 4. Oh look - that equation is already in slope-intercept form! The slope is the co-efficient of x. (The number multiplying x) So our slope is m = -3.

Start with y = mx + b and substitute in what you know. x = 2, y = 6 and m = -3.

y = mx + b

6 =-3(2) +b substitution

6 = -6 + b multiplication

6 + 6 = -6 + 6 +b added 6 to both sides

12 = 0 + b combined like terms

12 = b

Now, you know the slope (m = -3) and the y-intercept (b = 12). Use the slope-intercept form again...