What is y=(4)/(5)x+2 written in standard form? Choose 1 answer: (A) -(4)/(5)x+y-2=0 (B) 5y=4x+10 (C) -4x+5y=10 (D) y=(4)/(5)(x+(5)/(2))

Understand the goal: Understand the goal. We need to rewrite the equation y=(4/5)x+2 in standard form, which 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 5 to eliminate the fraction. 5 * y = 5 * ((4/5)x + 2) This gives us 5y = 4x + 10.Rearrange terms: Rearrange the terms to get the x term on one side and the y term on the other side. To do this, we subtract 4x from both sides of the equation. -4x + 5y = 10Check coefficient of x: Check if the coefficient of x is non-negative. In the equation -4x + 5y = 10, the coefficient of x is negative. However, for standard form, we prefer the coefficient of x to be non-negative. Since the problem does not specify that the coefficient of x must be positive and all terms are on one side with the equation equal to a constant, we can consider this to be in standard form.

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What is
y=(4)/(5)x+2 written in standard form?
Choose 1 answer:
(A)
-(4)/(5)x+y-2=0
(B)
5y=4x+10
(C)
-4x+5y=10
(D)
y=(4)/(5)(x+(5)/(2))

What is $y=\frac{4}{5} x+2$ written in standard form? $\newline$ Choose $1$ answer: $\newline$ (A) $-\frac{4}{5} x+y-2=0$ $\newline$ (B) $5 y=4 x+10$ $\newline$ (C) $-4 x+5 y=10$ $\newline$ (D) $y=\frac{4}{5}\left(x+\frac{5}{2}\right)$

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Math Problems

Algebra 1

Identify equivalent linear expressions

Full solution

Q. What is

y=\frac{4}{5} x+2

written in standard form?

\newline

Choose

1

answer:

\newline

(A)

-\frac{4}{5} x+y-2=0

\newline

(B)

5 y=4 x+10

\newline

(C)

-4 x+5 y=10

\newline

(D)

y=\frac{4}{5}\left(x+\frac{5}{2}\right)

Understand the goal: Understand the goal. $\newline$ We need to rewrite the equation $y=\frac{4}{5}x+2$ in standard form, which 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 $5$ to eliminate the fraction. $\newline$ $5 \times y = 5 \times \left(\frac{4}{5}x + 2\right)$ $\newline$ This gives us $5y = 4x + 10$ .
Rearrange terms: Rearrange the terms to get the $x$ term on one side and the $y$ term on the other side. $\newline$ To do this, we subtract $4x$ from both sides of the equation. $\newline$ $-4x + 5y = 10$
Check coefficient of x: Check if the coefficient of x is non-negative. $\newline$ In the equation $-4x + 5y = 10$ , the coefficient of x is negative. However, for standard form, we prefer the coefficient of x to be non-negative. Since the problem does not specify that the coefficient of x must be positive and all terms are on one side with the equation equal to a constant, we can consider this to be in standard form.