Question

PLEASE HELP!

Write down the Equation of the following lines:

1)parallel to y=2x-1 and passing through (1, 8)

Answer 1

Explanation:

y=mx+b

m=slope

b=y-intercept

y=2x-1

2=slope

-1=y intercept

NOTE: parallel lines have the same slope

and we put the point (1,8) into y=mx+b with (x,y)

8=1m+b

now we put in 2 for the slope

8=1(2)+b

6=b

2=m

now insert that back into y=mx+b

y=2x+6

and that is the line that is parallel to y=2x-1 and passes through (1,8)

Hope that helps :)

Answer 2

y=2x+6

Explanation:

We use this following formula to find the equation:

`y-y_(1) =m(x-x_(1) )`

Now, we substitute the values in
`y_(1)` and
`x_(1)` :

`y-8=2(x-1)`

Distribute the 2 inside the parentheses:

`y-8=2x-2`

Now add 8 to both sides:

`y=2x+6` is your answer.