The equation provided is in the slope-intercept form of a linear equation:

$y = \frac{3}{4}x - \frac{1}{5}$

In the general slope-intercept form $y = mx + b$, $m$ represents the slope and $b$ represents the y-intercept.

• Slope ($m$): The coefficient of $x$ is $\frac{3}{4}$, so the slope is $\frac{3}{4}$.
• Y-intercept ($b$): The constant term is $-\frac{1}{5}$, so the y-intercept is $-\frac{1}{5}$.

Thus:

• Slope = $\frac{3}{4}$
• Y-intercept = $-\frac{1}{5}$

Would you like further details or explanations?

Here are 5 related questions:

1. How do you find the slope from a graph of a line?
2. What is the significance of a positive vs. negative slope?
3. How do you convert a linear equation to slope-intercept form if it's not given in that form?
4. How would you calculate the x-intercept from this equation?
5. What does the y-intercept tell you about the graph of the line?

Tip: The slope indicates the steepness and direction of a line, while the y-intercept tells you where the line crosses the y-axis.