write an equation that describes a line that passes through (-3,-1) and is parallel to the graph of y=4x-1

Question

a) y=-4x-1 b)y=4x+11 c)y=4x+1 d)y=-4x-11

Answer 1

We're trying to find an equation of the form y = mx + b; find m and b. If the line is parallel to y = 4x - 1, then we can already say that m = 4. If the line passes through the point, then plug that (x,y) into the equation and solve for b:

 

-1 = (4)(-3) + b --> b = 11

 

Thus, the answer is y = 4x + 11 (answer b).