Question

course challenge
what is the slope of the line?
$2x - 5y = 9$
choose 1 answer:
a $\frac{2}{5}$
b $-\frac{5}{2}$
c $-\frac{2}{5}$
d $\frac{5}{2}$

Explanation:

Step1: Isolate the y-term

$2x - 5y = 9 \implies -5y = -2x + 9$

Step2: Solve for y (slope-intercept form)

$y = \frac{-2}{-5}x + \frac{9}{-5} \implies y = \frac{2}{5}x - \frac{9}{5}$

Step3: Identify the slope

The slope is the coefficient of $x$ in $y=mx+b$.

Answer:

A. $\frac{2}{5}$