Question

I dont understand at all(*@&$#)@


The equation of line EF is y = 1 over 2x + 6. Write an equation of a line parallel to line EF in slope-intercept form that contains point (0, −2).

Answer 1

when two lines are parallel they have the same slope....you know that right?

Answer 2

Yeah of course

Answer 3

equation of a line is
\[y=mx+c\]
\[y=\frac{ 1 }{2 }x+6\]
so m=1/2
now we can form the equation of the parallel line
\[m=\frac{ \Delta y }{ \Delta x}=\frac{ y_1-y_2 }{x_1-x_2 }\]
so,
\[\frac{ 1 }{2 }=\frac{ y--2 }{ x-0 }\]
cross multiply

Answer 4

If those are the answers it would be A right?


y = −2x − 2

y = negative 1 over 2x + 2

y = 1 over 2x − 2

y = − 2x + 2

Answer 5

y = 1/2x + 6
slope here is 1/2. Parallel lines have same slope.

now use y = mx + b
slope(m) = 1/2
(0,-2)...x = 0 and y = -2
now we sub, and since we already know the slope(m), we need to find the y intercept(b)
-2 = 1/2(0) + b
-2 = b

so your parallel equation is : y = 1/2x - 2

Answer 6

How did I miss that, Thank you so much guys

Answer 7

no problem .....lol...if I had $1 for every mistake I made, I would be rich :)

Answer 8

\[\frac{ 1 }{2 }=\frac{ y+2 }{ x }\]
cross multiply
\[x=2(y+2)\]
\[x=2y+4\]
\[2y=x-4\]
divide both sides by 2
\[y=\frac{ 1 }{ 2 }x -2\]

Answer 9

lol... me too @texaschic101