The slope of a line is 1/3 . what is the slope of a line perpendicular to this line? -3 - 3

FIRST OPTION: -3

Step-by-step explanation:

By definition, if two lines are perpendicular to each other, then their slopes are negative reciprocals.

In this case you can observe that that the slope of the line is and you know that the other line is perpendicular to this line. Therefore, their slopes are negative reciprocals.

This means that:

If ,then  

This matches with the first option.

i think that you should ask google for the answer to that problem because if we don't know it google does

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.