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

step-by-step explanation:

hjkj

the largest number of the four options is 1.8 x 10-2

you have it in scientific notation.

1.80 x 10-6   = 0.00000180

1.80 x 10-4   = 0.000180 (bigger, or "less small", than the former one)

so

1.8 x 10-2       = 0.0180. as you see. the "less small", or the biggest one of them all.

as you have negative exponent, it means you are dividing 1.8 by 100 (i.e. moving the dot towards left, two times).

if you had positive exponent for the scientific notation, power of tenths, you would be multiplying times 100 (moving the dot towards right) as below:

1.8 x (10)2 = 180

so. if you have negative exponent in scientific notation, move the dot toward left. if it is positive, toward right as many times the exponent tells you.