Graph the direct variation y=−1.5x. find the value of x when y= −3; 4.5; 6 when y = −3, x = when y = 4.5, x = when y = 6, x =

When y = −3, x =2

When y = 4.5, x =-3

When y = 6, x = -4

Step-by-step explanation:

Given equation:

To find x divide both sides by -1.5 , we get

When y = −3,

When y = 4.5,

When y = 6,

So we have points to plot the line to show direct variation on graph as below.

(2,-3), (-3,4.5) and (-4,6)

the answer

b. they are parallel and will never intersect.

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.