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

step-by-step explanation:

abc

the equation of the parallel line would be y = 2x + 9

step-by-step explanation:

to start we need to find the slope of the original line. we can do that by looking at the coefficient of x, which is 2

since the slope of the original line is 2 and parallel lines have the same slope, we know the new line will also have 2 slope. now we can use that along with the point given in point-slope form to get the find equation.

y - y1 = m(x - x1)

y - 5 = 2(x + 2)

y - 5 = 2x + 4

y = 2x + 9