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Vinil7 [7]
1 year ago
10

Which equation represents a line which is parallel to the line 2x+y=-8?A. y=− 1/2 x−4B. y=−2x+5C. y=2x+3D. y= 1/2x+2

Mathematics
1 answer:
katrin2010 [14]1 year ago
4 0

Two lines that are parallel have the same slope. In its slope-intersect form, we can write the equation of a line with slope m and y-intercept b as:

y=mx+b

Step 1

Write the given equation in slope-intercept form and identify its slope m.

\begin{gathered} 2x+y=-8 \\  \\ 2x+y-2x=-2x-8 \\  \\ y=-2x-8 \end{gathered}

Thus:

m=-2

Step 2

Find the equation with the same slope m = -2. We need to identify which of them has -2 multiplying the variable x.

Answer

From the given options, the only one with the same slope m = -2, therefore parallel to the given line, is:

y=-2x+5\text{      (option B)}

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