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
