Question

How do you write \[x - 3y = - 18\] in slope intercept form?

Answer 1

Hint: According to given in the question we have to determine the order of the given numbers which are $ - 2,0.75,\dfrac{1}{4}, - \dfrac{3}{2}$ from least to greatest. So, first of all we have to determine or convert the given fraction into the form of decimal which can be done by dividing the numerator by the denominator and according to given in the question there are two such numbers to which can be converted in the form of decimal.
Now, we have to check for the smallest numbers from the given numbers which can be a negative number and then as we know that the higher negative number is less than as compared to the smaller negative number.
Now, we have to check the order of the positive numbers in which we know that a larger positive number is greater than the smaller positive number.

Complete step by step answer:
Step 1: First of all we have to determine or convert the given fraction into the form of decimal which can be done by dividing the numerator by the denominator and according to given in the question there are two such numbers to which can be converted in the form of decimal which is as mentioned in the solution hint. Hence,
$ \Rightarrow \dfrac{1}{4} = 0.25$
And,
$ \Rightarrow - \dfrac{3}{2} = - 1.5$
Step 2: Now, we have to check for the smallest numbers from the given numbers which can be a negative number and then as we know that the higher negative number is less than as compared to the smaller negative number. Hence,
$ \Rightarrow - 2.0 < - 1.5$
Step 3: Now, we have to check the order of the positive numbers in which we know that a larger positive number is greater than the smaller positive number.
$ \Rightarrow0.25 < 0.75$
Step 4: Now, we have to arrange all the numbers in the order which is as mentioned in the question from least to greatest. Hence,
$ \Rightarrow - 2.0 < - 1.5$$ < 0.25 < 0.75$

Hence, we have determined the order of the given numbers from least to greatest which are as $ - 2.0 < - 1.5$$ < 0.25 < 0.75$.

Note: To obtain the order we should convert all the given numbers in the same form means all the numbers should be in fraction or all the numbers should be in the form of decimal or integer.
To check for the smallest numbers from the given numbers which can be a negative number and then as we know that the higher negative number is less than as compared to the smaller negative number.