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The value of
y is 6 less than the quotient of
x and 4. Which graph best shows this relationship?
(A)
(c)
(D)

$4$ ) $\newline$ The value of $y$ is $6$ less than the quotient of $x$ and $4$ . Which graph best shows this relationship? $\newline$ (A) $\newline$ (c) $\newline$ (D)

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Conjugate root theorems

Full solution

Q.

4

)

\newline

The value of

y

is

6

less than the quotient of

x

and

4

. Which graph best shows this relationship?

\newline

(A)

\newline

(c)

\newline

(D)

Write Equation: Write the equation based on the given relationship: $y = \frac{x}{4} - 6$ .
Identify Type: Identify the type of equation: This is a linear equation in the form $y = mx + b$ , where $m$ is the slope and $b$ is the y-intercept.
Determine Slope and Y-Intercept: Determine the slope ( $m$ ) and y-intercept ( $b$ ) from the equation: $m = \frac{1}{4}$ , $b = -6$ .
Choose Correct Graph: Choose the graph that shows a line with a slope of $\frac{1}{4}$ and a $y$ -intercept of $-6$ . Graph $(A)$ , $(C)$ , and $(D)$ are options, but without the actual graphs, we can't determine which one is correct.

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