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What is the slope of the line?

2x+4y=6x-y
Choose 1 answer:
(A)
(5)/(4)
(B)
(3)/(2)
(c)
(4)/(5)
(D)
(2)/(3)

What is the slope of the line? $\newline$ $2x+4y=6x-y$ $\newline$ Choose $1$ answer: $\newline$ (A) $\frac{5}{4}$ $\newline$ (B) $\frac{3}{2}$ $\newline$ (C) $\frac{4}{5}$ $\newline$ (D) $\frac{2}{3}$

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Solve equations with variables on both sides: fractional coefficients

Full solution

Q. What is the slope of the line?

\newline

2x+4y=6x-y

\newline

Choose

1

answer:

\newline

(A)

\frac{5}{4}

\newline

(B)

\frac{3}{2}

\newline

(C)

\frac{4}{5}

\newline

(D)

\frac{2}{3}

Question prompt: Question prompt: What is the slope of the line represented by the equation $2x + 4y = 6x - y$ ?
Rearrange equation into slope-intercept form: Rearrange the equation into slope-intercept form, which is $y = mx + b$ , where $m$ is the slope. $\newline$ Subtract $2x$ from both sides of the equation to move the x-terms to one side. $\newline$ $2x + 4y - 2x = 6x - y - 2x$ $\newline$ $4y = 4x - y$
Combine like terms: Combine like terms on the right side of the equation. $\newline$ $4y = 4x - y$ $\newline$ Add $y$ to both sides to get all the $y$ -terms on one side. $\newline$ $4y + y = 4x - y + y$ $\newline$ $5y = 4x$
Add $y$ to both sides: Solve for $y$ by dividing both sides of the equation by $5$ . $\newline$ $\frac{5y}{5} = \frac{4x}{5}$ $\newline$ $y = \left(\frac{4}{5}\right)x$
Solve for $y$ : Identify the slope of the line from the equation $y = \frac{4}{5}x$ . The coefficient of $x$ is the slope of the line, which is $\frac{4}{5}$ .

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