Question

Select the equation of the line parallel to the equation y=-3x-5 and that passes through the point (1, 2)

Answer 1

y = -3x + 5

Explanation:

A parallel line has the same slope. y=mx+b where m is the slope. The reference line is y=-3x-5, sio the slope is -3 and any parallel line must have the same slope. The eliminates the second answer (slope is 3, not -3). The equation must "satisfy" the requirement that point (1,2) is on the line (i.e., it is a solution. We know the line must have the form y= -3x+b, so we need b. Find the value of b by entering (1,2) and solving for b:

y= -3x+b

2 = -3*1 + b

b = 5

The equation is y = -3x + 5