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
Let’s rewrite the equation
y=2x13
Knowing that the equation is parallel to this will only tell us the slope. When an equation is parallel to another it has the same slope but a different yintercept. So, our equation will also have a slope of 2.
Our current equation is y=2x+b
Let’s solve for b. We’ll do this by substituting the point into the equation and solving
y=2x+b
*substitute point*
8=2(4)+b
*multiply 2 and 4*
8 = 8 +b
*add 8 on both sides*
0=b
That will finish our equation. Our final equation is y=2x+0, or simply y=2x
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