Question

Determine if 2x = 14 + y and 4x + 2y = 10 are parallel, perpendicular, or neither.

Answer 1

Answer:

Neither

Step-by-step explanation:

To tell if lines are perpendicular or parallel just from the equations, you need to look at the slopes. So get the equations into slop-intercept form

(y = slope * x + y-intercept)

2x = 14 + y

-14          -14

2x - 14 = y    OR     y = 2x - 14

*So the slope of the first equation is 2*

4x + 2y = 10

-4x           -4x

2y = -4x + 10

/2          /2

y = -4/2 + 10

*So the slope is -2*

For the lines to be parallel, the slopes have to be the same. For them to be perpendicular, the slopes have to be opposite (negative is the opposite of positive and vice versa) and reciprocal (A flipped fraction, so the reciprocal of 2 would be 1/2)