Question

Write the equation of the line that passes through (0, 19) and is parallel to the line y = x + 33.

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Answer 1

y=x+19

Explanation:

Parallel means same slope.

y-y1=m(x-x1)

y-19=1(x-0)

y-19=x-0

y-19=x

y=x+19

Answer 2

y=x+19

Explanation:

The formula for a line is y=mx+b. Here, we can say y is y, m is 1 (as x is on its own), and 33 is b as that's what we add x to. For a line to be parallel to another, it must have the same slope (m). Therefore, the new line must be y=1*x + b. Plugging our point in, we get 19=1*0+b, so 19=b. Our equation is then y=x+19