What is y+4=-6(x+6) written in standard form? Choose 1 answer: (A) y=-6x-40 (B) 6x+y=-40 (C) 6x+y=2 (D) y=-6x+2

Rephrasing the equation: First, let's rephrase the ＂What is the equation y+4=-6(x+6) written in standard form?＂Distributing the -6: Now, let's distribute the -6 across the (x+6) in the equation y+4=-6(x+6). y + 4 = -6 * x - 6 * 6 y + 4 = -6x - 36Isolating y on one side: Next, we need to subtract 4 from both sides to isolate y on one side. y + 4 - 4 = -6x - 36 - 4 y = -6x - 40Converting to standard form: The equation y = -6x - 40 is in slope-intercept form. To write it in standard form, we need to rearrange it so that all terms are on one side and the x term is positive. Add 6x to both sides: 6x + y = -40Final equation in standard form: The equation 6x + y = -40 is now in standard form with the x term positive, which matches answer choice (B).

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What is
y+4=-6(x+6) written in standard form?
Choose 1 answer:
(A)
y=-6x-40
(B)
6x+y=-40
(C)
6x+y=2
(D)
y=-6x+2

What is $y+4=-6(x+6)$ written in standard form? $\newline$ Choose $1$ answer: $\newline$ (A) $y=-6 x-40$ $\newline$ (B) $6 x+y=-40$ $\newline$ (C) $6 x+y=2$ $\newline$ (D) $y=-6 x+2$

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Algebra 2

Evaluate rational expressions II

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Q. What is

y+4=-6(x+6)

written in standard form?

\newline

Choose

1

answer:

\newline

(A)

y=-6 x-40

\newline

(B)

6 x+y=-40

\newline

(C)

6 x+y=2

\newline

(D)

y=-6 x+2

Rephrasing the equation: First, let's rephrase the ＂What is the equation $y+4=-6(x+6)$ written in standard form?＂
Distributing the $-6$ : Now, let's distribute the $-6$ across the $(x+6)$ in the equation $y+4=-6(x+6)$ . $y + 4 = -6 \times x - 6 \times 6$ $y + 4 = -6x - 36$
Isolating y on one side: Next, we need to subtract $4$ from both sides to isolate $y$ on one side. $\newline$ $y + 4 - 4 = -6x - 36 - 4$ $\newline$ $y = -6x - 40$
Converting to standard form: The equation $y = -6x - 40$ is in slope-intercept form. To write it in standard form, we need to rearrange it so that all terms are on one side and the $x$ term is positive. $\newline$ Add $6x$ to both sides: $\newline$ $6x + y = -40$
Final equation in standard form: The equation $6x + y = -40$ is now in standard form with the $x$ term positive, which matches answer choice $(B)$ .