Move the $5x$ term to the other side of the equation first, then divide everything by the coefficient of $y$ to solve for $y$.

When you divide both sides of the equation by $-2$, pay close attention to how the negative signs affect the coefficients.

Type the equation into Desmos: 5x - 2y = 10. Desmos will graph this line in the coordinate plane.

Click on two points on the line (Desmos shows coordinates when you click). Use the slope formula: $m = (y_2 - y_1)/(x_2 - x_1)$. For example, if the line passes through $(0, -5)$ and $(2, 0)$, the slope is $(0 - (-5))/(2 - 0) = 5/2$.

To double-check, type y = (5/2)x - 5 in a new line. If this line overlaps perfectly with the original, your slope is correct.

The slope of a line is the coefficient of $x$ when the equation is written in slope-intercept form:

Here, $m$ is the slope and $b$ is the $y$-intercept.

Start with the given equation:

Subtract $5x$ from both sides to move the $x$-term to the right:

Now divide every term on both sides by $-2$ to solve for $y$:

Factor out $-1$ from the numerator to simplify:

Now split the fraction:

In the form $y = mx + b$, the slope is the coefficient of $x$.

From

the coefficient of $x$ is $\frac{5}{2}$, so the slope of the line is $\frac{5}{2}$.