Question

Which equation represents the line that is parallel to y = -3 and passes through (-1, 6)?

y = __

Answer 1

Explanation:

We'll look for an equation with the form y=mx+b, where m is the slope and b the y-intercept (the value of y when x=0).

A parallel line will have the same slope as the reference line, in this case it is 0, since y = -3 has no x term in it [y is independent of x]. The line we want will have the form y=b, since m is 0. Put the given point, (-1,6) into this equation to find b:

y=b

6=b

The equation of a line parallel to y=-3 is y=6.

See attached plot.