Define a variable and write an expression for the phrase. the quotient of 2 times a number and 8 .

The expresion for the phrase is:

Step-by-step explanation:

In order to get the expression for the phrase, we have to understand the described operations in it.

The phrase starts with "the quotient of...", therefore the expression must be a fraction:

To get what is the numerator (A) and the denominator (B), we have to analyze carefully the rest of the phrase: "...2 times a number and 8"

In this case, the word "and" separates the numerator from the denominator:

Numerator: "2 times a number"

This unknown number is called x

Therefore, numerator of the fraction (A) is:

And the Denominator: "8"

Therefore:

Finally, replacing values:

x=-2

infinite number of lines, so there is an infinite number of equations.

step-by-step explanation:

there are an infinite number of line that passes through the point (-2,5)

x=-2   is one line that passes through the point

y = 5 is another line that passes through the point

(these two lines are perpendicular to each other).

since the number of   numbers are infinite and the slope is the ratio of two numbers,(change in y over change in x) we can have an infinite number of slopes.     our only condition is that it passes through the point (-2,5)

y=1/4x-4

step-by-step explanation: