In what quadrant of the coordinate plane is the graph of the direct proportion located which is parallel to the graph, expressed by the formula:
note: answer both questions in the same format (the direct proportion is the graph is located on quadrants and

Part 1) The direct proportion is . The graph is located on quadrants I and III

Part 2) The direct proportion is . The graph is located on quadrants II and IV

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form

In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin

Part 1) we have

Remember that

If two lines are parallel, then their slopes are the same

In this problem, the slope of the given line is

therefore

The direct proportion is

The graph is located on quadrants I and III

see the attached figure to better understand the problem

Part 2) we have

Remember that

If two lines are parallel, then their slopes are the same

In this problem, the slope of the given line is

therefore

The direct proportion is

The graph is located on quadrants II and IV

see the attached figure to better understand the problem

answer: expected value of x = 1.0

step-by-step explanation:

p(x=0) = 0.25

p(x=1) = 0.50

p(x=2) = 0.25

expected value for x = 0×0.25 + 1×0.5 + 2×0.25 = 1.0

none.

step-by-step explanation:

m

1

=

5

m1=5

b

=

−

1

b=-1

find the slope and y-intercept of the second equation.

tap for more

m

2

=

0

m2=0

b

=

−

6

b=-6

compare the slopes

m

m of the two equations.

m

1

=

5

,

m

2

=

0

m1=5,m2=0

compare the two slopes in the decimal form. if the slopes are equal, then the lines are parallel. if the slopes are not equal, then the lines are not parallel.

m

1

=

5

,

m

2

=

0

m1=5,m2=0