Question

1 what is the slope of the graph of $5x - 2y = 20$?
a -10
b $\frac{-2}{5}$
c $\frac{5}{2}$
d 5

Explanation:

Step1: Rearrange to slope-intercept form

Start with the given equation: $5x - 2y = 20$
Subtract $5x$ from both sides:
$-2y = -5x + 20$

Step2: Isolate $y$

Divide all terms by $-2$:
$y = \frac{-5x}{-2} + \frac{20}{-2}$
Simplify:
$y = \frac{5}{2}x - 10$

Step3: Identify the slope

In $y=mx+b$, $m$ is slope.
Here, $m=\frac{5}{2}$

Answer:

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