What is y=-(1)/(4)x+4 written in standard form? Choose 1 answer: (A) x+4y=16 (B) 4x-y=16 (c) -x+4y=16 (D) 4x+y=16

Understanding the goal: Understand the goal. We need to rewrite the equation y = -(1/4)x + 4 in standard form. The standard form of a linear equation is Ax + By = C, where A, B, and C are integers, and A is non-negative.Eliminating the fraction: Multiply both sides of the equation by 4 to eliminate the fraction. 4y = -x + 16Moving the term with x: Move the term with x to the left side of the equation. x + 4y = 16Checking the coefficient of x: Check if the coefficient of x is non-negative. The coefficient of x is 1, which is non-negative, so we do not need to multiply the entire equation by -1.Verifying the standard form: Verify that the equation is in standard form. The equation x + 4y = 16 is in standard form, with A = 1, B = 4, and C = 16, and all are integers.

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What is
y=-(1)/(4)x+4 written in standard form?
Choose 1 answer:
(A)
x+4y=16
(B)
4x-y=16
(c)
-x+4y=16
(D)
4x+y=16

What is $y=-\frac{1}{4} x+4$ written in standard form? $\newline$ Choose $1$ answer: $\newline$ (A) $x+4 y=16$ $\newline$ (B) $4 x-y=16$ $\newline$ (C) $-x+4 y=16$ $\newline$ (D) $4 x+y=16$

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Math Problems

Algebra 1

Identify equivalent linear expressions

Full solution

Q. What is

y=-\frac{1}{4} x+4

written in standard form?

\newline

Choose

1

answer:

\newline

(A)

x+4 y=16

\newline

(B)

4 x-y=16

\newline

(C)

-x+4 y=16

\newline

(D)

4 x+y=16

Understanding the goal: Understand the goal. $\newline$ We need to rewrite the equation $y = -\frac{1}{4}x + 4$ in standard form. The standard form of a linear equation is $Ax + By = C$ , where $A$ , $B$ , and $C$ are integers, and $A$ is non-negative.
Eliminating the fraction: Multiply both sides of the equation by $4$ to eliminate the fraction. $\newline$ $4y = -x + 16$
Moving the term with $x$ : Move the term with $x$ to the left side of the equation. $\newline$ $x +$ $4$ y = $16$
Checking the coefficient of $x$ : Check if the coefficient of $x$ is non-negative. $\newline$ The coefficient of $x$ is $1$ , which is non-negative, so we do not need to multiply the entire equation by $-1$ .
Verifying the standard form: Verify that the equation is in standard form. $\newline$ The equation $x + 4y = 16$ is in standard form, with $A = 1$ , $B = 4$ , and $C = 16$ , and all are integers.