Write an equation for the line parallel to the given line that contains C. C(2,8); y = - 2x + 1
y =

Okay!

Whenever a line is parallel to another, that means they ALWAYS have the same slope!

So the slope of our new line is -2 as well !

Now let's use point C (2, 8) to find the y-intercept!

This is easy! All we need to do is plug the point in our new equation!

Remember that in point C, 2 = x    and 8 = y

Time to plug in all these numbers in y = mx + b

8 = -2 (2) + y intercept

→ the 8 is in the y's place

→the -2 is in the slope place

→2 is in the x place

Now we solve for the y-intercept using basic math!

8 = -2(2) + y-intercept

8 = -4 + y-intercept

8 + 4 = y-intercept

We did it! We found the y-intercept

The y-intercept is 12!

Now let's create our final equation ...

y = -2x + 12