After simplifying, try to rearrange the equation so that all $y$ terms are on one side and everything else is on the other side, then divide to solve for $y$.

Remember that when a line is written as $y = mx + b$, the slope of the line is the number multiplying $x$. Make the equation look like this form.

Type the equation exactly as given: 5y - 2(3x - 4) = 10. Desmos will rewrite it in the form y = mx + b; the slope is the coefficient of x in that rewritten equation.

Start with the equation:

Distribute $-2$ to both terms inside the parentheses:

So the equation becomes:

Move the constant term on the left to the right side by subtracting $8$ from both sides:

Now add $6x$ to both sides so the $x$-term is on the right:

Divide every term by $5$ to solve for $y$:

In slope-intercept form $y = mx + b$, the slope is the coefficient of $x$. Here, the slope is $\dfrac{6}{5}$.