If line ab is parallel to line cd and the slope of line AB = -3/5, what is the slope of CD?

-3/5

-5/3

3/5

5/3

-3/5

Step-by-step explanation:

Parallel lines have the same slope.  If ab has a slope of -3/5 and is parallel to cd, the cd has a slope of -3/5

Option A, -3/5

Step-by-step explanation:

A line that is parallel to another has the same slope, but a different y-int.

In this case, the slope is -3/5.  So, the slope of the parallel line is -3/5

 Option A, -3/5

c. y = 1/4 x + 5

step-by-step explanation:

first, put the equation of the line on the graph into slope-intercept form

(y = mx + b):   y = -4x + 8

second, a perpendicular line has to have "an opposite/reciprocal slope" to the original slope. so, find the "m" value in your original equation (it's -4, right? )

original slope: m = -4   perpendicular slope: change the sign to its opposite and find the reciprocal ("flip" the number)

new slope is now positive (b/c the original slope was negative 4), and it's 1/4 (not the original slope of 4 or 4/1)