Question

Choose the slope-intercept equation of the line that passes through the point (4, -6) and is parallel to y = -1 over 2x + 5.

A) y = -2x + 2
B) y= 2x - 14
C) y= 1 over 2x - 8
D) y = -1 over 2x - 4

Answer 1

\[y=\frac{-1}{2x+5}\]

Answer 2

That is not a line so there is no line that is parallel to it.

Answer 3

The slope of y = -1/2x + 5 is -1/2


So the slope of the parallel line is -1/2


Now use y = mx+b to find the equation of the parallel line

You'll be plugging in

m = -1/2
x = 4
y = -6


\[\Large y = mx+b\]


\[\Large -6 = \left(\frac{-1}{2}\right)\left(4\right)+b\]


\[\Large -6 = \frac{-4}{2}+b\]


\[\Large -6 = -2+b\]


\[\Large -6+2 = b\]


\[\Large -4 = b\]


\[\Large b = -4\]


So the equation of the parallel line is \[\Large y = -\frac{1}{2}x-4\]

Answer 4

So the answer is choice D

Answer 5

Oh my gosh, thank you!

Answer 6

You're welcome