Equation which is parallel and contains a negative.
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2 Answers

Two lines that are parallel have the same slope, which in this case is 8.

In slope-intercept form the equation is y-12=8(x-3).

That’s the same as y=8x-24+12=8x-12, so y=8x-12 is the equation of the parallel line.

by Top Rated User (695k points)
The gradient (or slope) of the parallel line will be the same, which is 8. We know the values of x and y so if we put those in the equation for a straight line, y=mx+c, we get 12= 8(3)+c. 8*3 is 24 so 12=24+c, if we takeaway 24 from both sides we are left with c=-12 so the equation of the parallel line is y=8x-12.
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