A.) They are parallel

B.) They have the same slope

C.) They are perpendicular

D.) They do not intersect

E.) They are the same line

**Slope-intercept form is y = mx + b**

**m is the slope**

**b is the y-intercept**

__In y = -4x + 6__slope is -4

y-intercept is 6

**In y = (1/4)x + 6**slope is 1/4

y-intercept is 6

Perpendicular lines have slopes which are negative reciprocals.

-4 and 1/4 are slopes which are negative reciprocals,

therefore the two lines are perpendicular, and they

also intersect at the y-intercept since it is the same in

both equations

**C.) They are perpendicular**