Question

Write an equation for the line that is parallel to the given line and passes through the given point y=2x+4;(3,8)
A; y=2x+2
B; y=2x+6
C; y=-2x+6
D; y=-1/2x+2

Answer 1

Really simple :)
When a line is parallel to another point, it basicly means it has the same slope
Look at the line below:

A line that is parallel goes in the same direction, and therefore has the same slope

Answer 2

Now, you are aware of the basic equation of a line, aren't you?
\(y=mx+c\) or \(y=mx+b\)
Where:
\(y\) Is the \(y\) value of a point
\(x\) Is the \(x\) value of a point
\(m\) Is the slope
\(b\) Is a constant or number that is equal to the y-intercept

Now, we know y and x, since you are given a point. We also know the slope, since you said that the line is parallel to y=2x+4. In this equation, the slope or \(m\) value is 2. Therefore, in our new equation, the slope or \(m\) value must be 2 also.

Now since we know 3 out of 4 numbers, we can use algebra to find the last number \(b\)
\[y=mx+n\]\[8=2\times3+b\]\[8=6+b\]\[8-6=b\]\[2=b\]\[b=2\]
Sub the values we know \(m\) and \(b\)
\[y=mx+b\]\[y=2x+2\]
Thats the answer :)

Answer 3

thank you, thank you

Answer 4

No problem @penguinlol88 :)

Answer 5

Do you have any more questions we could help you with, @penguinlol88?

Answer 6

I'm taking that as a no ;) @penguinlol88

Answer 7

Describe how the graphs of y=/x/ and y=/x+3/ are related.
A; the two graphs are the same
B; the graphs have the same shape the y-intercept of x=/x/is 0and the x-intercept of the second graph is 3
C; the graphs have the same shape the y-intercept of y=/x/ is 0 and the x-intercept of the second graph is 3
d; the graphs have the same shape the y-intercept of y=/x/is 0 and the y-intercept of the second graph is -3

Answer 8

Ask this in a new question, then we all can help you :)