None of the statements seem to be true. Essentially, the following should be true
0.4>0.06 because 4/10 > 6/100
0.4 > 0.06 because 4 tenths is greater than 6 hundredths
Step-by-step explanation:
To decide which decimal number is bigger, we first check the whole numbers (on the left of the decimal point). If the whole numbers are similar we move to the tenths number (on the right of the decimal point)
We compare the tenths numbers. Whichever has the greatest number is the greater of th two decimal numbers.
If the tenths numbers are similar, we move to the hundredths. The one with the largest number is the greater of the two.
If they are similar we move to the thousandths number and so on...
First you want to find the slope of the line that passes through these points. To find the slope of the line, we use the slope formula: (y₂ - y₁) / (x₂ - x₁)
Plug in these values:
(2 - 8) / (1 - 2)
Simplify the parentheses.
= (-6) / (-1)
Simplify the fraction.
-6/-1
= 6
This is your slope. Plug this value into the standard slope-intercept equation of y = mx + b.
y = 6x + b
To find b, we want to plug in a value that we know is on this line: in this case, I will use the second point (1, 2). Plug in the x and y values into the x and y of the standard equation.
2 = 6(1) + b
To find b, multiply the slope and the input of x(1)
2 = 6 + b
Now, subtract 6 from both sides to isolate b.
-4 = b
Plug this into your standard equation.
y = 6x - 4
This is your equation.
Check this by plugging in the other point you have not checked yet (2, 8).
