ANSWER:

Step 1: Solve for $y$

Start with the given equation:

$$10x - 2y = 5$$

Isolate $y$ by moving $10x$ to the other side:

$$-2y = -10x + 5$$

Now, divide everything by $-2$ to solve for $y$:

$$y=5x-\frac{5}{\mathrm{2<span\; style="font-family:\; "Helvetica\; Neue",\; Helvetica,\; Arial,\; sans-serif;"></span>}}$$

Step 2: Identify the slope and y-intercept

Now that we have the equation in slope-intercept form ($y = mx + b$):

• The slope $m = 5$
  
• The y-intercept $b = -\frac{5}{2}$
  

So, the slope is 5, and the y-intercept is $-\frac{5}{2}$.