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Select the equations of the lines that are parallel to the line whose equation is y= 3x +5.

-3x + y = 8
3y = 9x
y=- jx
16x + 2y = 12

User Dufaux
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1 Answer

2 votes

Answer:

-3x + y = 8.

3y = 9x.

Explanation:

To find the slope of the lines we convert to slope-intercept form, which is

y = mx + c (m is the slope.)

The slope of y = 3x + 5 is therefore 3.

Parallel lines have the same slope.

Finding the slope of the given lines:

-3x + y = 8

y = 3x + 8 - slope is 3 so this is parallel to y = 3x + 5.

3y = 9x

Divide through by 3:

y = 3x - so this is also parallel to 3x + 5.

y = -jx The slope is -j so it is not parallel.

16x + 2y = 12

2y = -16x + 12

y = -8x + 6 - Not parallel.

User Cviejo
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