Write the equation of the line that passes through (4, 8) and is parallel to the line y = 2x  13.
Mathematics
queensnowflake32
Question
Write the equation of the line that passes through (4, 8) and is parallel to the line y = 2x  13.
2 Answer

1. User Answers Yang100
Answer:
y=2x
Stepbystep explanation:
Parallel means same slope.
yy1=m(xx1)
y(8)=2(x4)
y+8=2x+8
y=2x+88
y=2x

2. User Answers lauren6751
Answer: y=2x+0
Let’s rewrite the equation
y=2x13
Knowing that the new equation is parallel to this will only tell us the slope. When an equation is parallel to another, it has the same slope but different yintercept. So, our equation will have the same slope.
This is our current equation: y=2x+b
Now we need to solve to b. We’ll do this by substituting the point into the equation and solving.
y=2x+b
*substitute point*
8=2(4)+b
8=8+b
+add 8 on both sides*
0=b
Let’s add this into our equation— y=2x+0 is our final answer
Hope this helps comment below for more questions :)