Question

Determine whether the graphs of y=-2x-7 and -y=2x+13 are parallel, perpendicular, coincident, or none of these.

Answer 1

Answer:

Parallel

Step-by-step explanation:

• Parallel lines have equal slopes

• The product of the slopes of perpendicular lines is - 1

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - 2x - 7 is in this form with slope m = - 2

- y = 2x + 13 ← multiply through by - 1

y = - 2x - 13 ← in slope intercept- form with slope m = - 2

Both lines have the same slope, that is m = - 2, hence

The graphs of the lines are parallel

Answer 2

It's parallel. Definitely true