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

Question

Kobe Watkins

Mathematics

18 May, 05:48

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

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Answers (1)

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Elliott Lynch · Answer 1

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.