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

Understand 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 should be non-negative.Multiply to eliminate the fraction: Multiply both sides of the equation by 4 to eliminate the fraction. 4 * y = 4 * (-(1/4)x + 4) This gives us: 4y = -x + 16Move term with x to the left: Move the term with x to the left side of the equation. To do this, we add x to both sides of the equation: x + 4y = x - x + 16 This simplifies to: x + 4y = 16Check 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 to satisfy the standard form requirements.

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

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

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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)

4 x-y=16

\newline

(B)

4 x+y=16

\newline

(C)

x+4 y=16

\newline

(D)

-x+4 y=16

Understand 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 $A$ should be non-negative.
Multiply to eliminate the fraction: Multiply both sides of the equation by $4$ to eliminate the fraction. $\newline$ $4 \cdot y = 4 \cdot \left(-\left(\frac{1}{4}\right)x + 4\right)$ $\newline$ This gives us: $\newline$ $4y = -x + 16$
Move term with x to the left: Move the term with x to the left side of the equation. $\newline$ To do this, we add $x$ to both sides of the equation: $\newline$ $x + 4y = x - x + 16$ $\newline$ This simplifies to: $\newline$ $x + 4y = 16$
Check 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 $-1$ to satisfy the standard form requirements.