Question

What is an equation of the line that passes through the point

(1,3) and is parallel to the line
3x+y=9?

Answer 1

3x+0=y

Explanation:

So first you read the question and find that the slope need to be parallel making it so we won't have to change the mx portion of the equation or 3x in this case after that it's just finding out what that slope actually means (in this case up 3 over 1) and know that the point you looking for happens to be over 1 up 3, so you just put 0 as the b because you just need = to the slope.

Answer 2

Hello!

First, we convert this equation into y=mx+b form:

3x+y=9

y=-3x+9

Now it's in y=mx+b form.

Our next step is to find the equation of a line that is parallel tothe given line. Since parallel lines have the same slope, then we know that the slope of the new line is -3.

Now, let's use the Point-Slope form:

y-y1=m(x-1)

y-3=-3(x-1)

y-3=-3x+3

y=-3x+3+3

y=-3x+6

Hope you find it helpful!

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