# Thread: Equation of a line which is parallel

1. ## Equation of a line which is parallel

Write down the equation of a line which is
a) parallel to y=4x+2, and passes through 4 on the y- axis
b) parallel to y=10x -5, passes through -1 on the y-axis

Thanks For The Help In Advance

2. Write down the equation of a line which is
a) parallel to y=4x+2, and passes through 4 on the y- axis
b) parallel to y=10x -5, passes through -1 on the y-axis[/QUOTE]
the equation of a line which is
a) parallel to y=mx+b, and passes through c on the y-axis is y=mx+c.

3. Originally Posted by MrGenuouse

a) parallel to y=4x+2, and passes through 4 on the y- axis

We seek a line in the form of $\displaystyle y=mx+c$ . We need to find m (the gradient) and c (the y-intercept) .

The gradient in the given equation is $\displaystyle m= 4$ and as the line we are after is parallel we can simply substitute this value into the new line giving

$\displaystyle y=4x+c$

Now passing through 4 on the y-axis means the y-intercept is 4 so we can substitute that in for c and we are finished

$\displaystyle y=4x+4$

How easy was that?

4. Thank You Very much for your help! My headache is over so I am really thankful about that too!

i hope i will be able to gain more knowledge from this community as i am 16 years old boy who is really interested in maths.