5x − 6y = 8

Answer 1

The equation you provided, $5x-6y=8$, is a linear equation in two variables (x and y). To express this equation in a more useful form, such as the slope-intercept form $y=mx+b$, we can solve for $y$.

Here’s how you can do it:

1. Start with the original equation: $$5x-6y=8$$

2. Subtract $5x$ from both sides: $$-6y=-5x+8$$

3. Divide every term by $-6$: $$y=\frac{5}{6}x-\frac{8}{6}$$

4. Simplify $-\frac{8}{6}$ to $-\frac{4}{3}$: $$y=\frac{5}{6}x-\frac{4}{3}$$

Now, the equation is in slope-intercept form, where the slope $m=\frac{5}{6}$ and the y-intercept $b=-\frac{4}{3}$.

If you want to find specific values of $x$ and $y$ that satisfy the equation or graph it, please provide additional details!