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What is the slope of the line? $\newline$ $2x-5y=9$ $\newline$ Choose $1$ answer: $\newline$ (A) $\frac{5}{2}$ $\newline$ (B) $\frac{2}{5}$ $\newline$ (C) $-\frac{5}{2}$ $\newline$ (D) $-\frac{2}{5}$

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Multiplication with rational exponents

Full solution

Q. What is the slope of the line?

\newline

2x-5y=9

\newline

Choose

1

answer:

\newline

(A)

\frac{5}{2}

\newline

(B)

\frac{2}{5}

\newline

(C)

-\frac{5}{2}

\newline

(D)

-\frac{2}{5}

Rearrange equation: Step $1$ : Rearrange the equation to the slope-intercept form, $y = mx + b$ , where $m$ represents the slope. $\newline$ Start by isolating $y$ on one side of the equation. $\newline$ $2x - 5y = 9$ $\newline$ $-5y = -2x + 9$ $\newline$ $y = \frac{2}{5}x - \frac{9}{5}$
Identify coefficient: Step $2$ : Identify the coefficient of $x$ , which is the slope of the line. $\newline$ From the equation $y = \frac{2}{5}x - \frac{9}{5}$ , the coefficient of $x$ is $\frac{2}{5}$ .

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