Aline has a slope of -3/5 which ordered pairs could be points on a parallel line? check all that apply. (–8, 8) and (2, 2) (–5, –1) and (0, 2) (–3, 6) and (6, –9) (–2, 1) and (3, –2) (0, 2) and (5, 5)

we know that

The formula to calculate the slope between two points is equal to

If two lines are parallel, then their slopes are equal

in this problem we have

the slope of the given line is

if ordered pairs could be points on a parallel line, then the ordered pairs must have a slope equal to

we are going to calculate the slope in each of the cases

case A)

substitute the values in the formula

--------> the ordered pair could be on a parallel line

case B)

substitute the values in the formula

--------> the ordered pair could not be in a parallel line

case C)

substitute the values in the formula

--------> the ordered pair could not be in a parallel line

case D)

substitute the values in the formula

--------> the ordered pair could be on a parallel line

case E)

substitute the values in the formula

--------> the ordered pair could not be in a parallel line

therefore

the answer is

options a,b,c are the right answer.

step-by-step explanation:

a linear parent function is always represented as y = x

if we write this function in the form of y=mx+c

⇒

or  

now if we plot a graph we will find these characteristics:

1) y intercept of the graph is zero so its a straight line passing through origin.

2) as we can see in both the forms of function written, values of x and y may be either positive or negative for the positive slope means points on the graph are either in first quadrant or in third one.

3) it's slope is one.