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Over [174]
3 years ago
6

Determine whether the lines are parallel or perpendicular or neither. 2x=y−10 and y=−2x

Mathematics
1 answer:
MrRa [10]3 years ago
7 0

Put the first equation in slope-intercept form, or y = mx + b. Start by subtracting y from both sides.

2x - y = -10, subtract 2x from both sides.

-y = -10 - 2x

Divide both sides by negative one.

y = 10 + 2x

To find the slope when the equations are in slope-intercept form you look at the coefficient of x. The first equation has the slope of 2 (which we just found), and the second equation has the slope of -2.

Parallel lines have the same slope and perpendicular lines have opposite reciprocal slopes. Since 2 and -2 are neither of these, your answer is neither.

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oksano4ka [1.4K]

Answer:

alternate interior angles are 2 and 5,4 and 1

alternate exterior angles are 6 and the one opposite 5,3 and the one opposite 4

corresponding angles are 4 and 3,2 and the one opposite 5

same side interior angles are 2 and 1,4 and 5

Step-by-step explanation:

Alternate Interior Angles are created where a transversal crosses two (usually parallel) lines. Each pair of these angles are inside the parallel lines, and on opposite sides of the transversal. Remember: interior means inside the parallel lines.

Alternate Exterior Angles are a pair of angles on the outer side of each of those two lines but on opposite sides of the transversal.

Corresponding angles are the angles which occupy the same relative position at each intersection where a straight line crosses two others. If the two lines are parallel, the corresponding angles are equal.

Same side interior angles are two angles that are on the same side of the transversal and on the interior of (between) the two lines.

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Slav-nsk [51]
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