The equation $y = 7x + 5$ is in the slope-intercept form of a linear equation, which is written as:

$y = mx + b$

Where:

• $m$ is the slope.
• $b$ is the $y$-intercept.

From the given equation $y = 7x + 5$:

• The slope ($m$) is $7$.
• The $y$-intercept ($b$) is $5$.

Final Answer:

• Slope: $7$
• $y$-intercept: $5$ (The graph crosses the $y$-axis at the point $(0, 5)$).

Would you like further details or assistance?

Related Questions:

1. How do you graph a linear equation given its slope and $y$-intercept?
2. What is the significance of the slope in a linear equation?
3. How does changing the $y$-intercept affect the graph of the line?
4. Can you rewrite $y = 7x + 5$ in standard form?
5. How do you determine the slope and $y$-intercept from a graph?

Tip:

When the slope is positive, the line rises from left to right; when it’s negative, the line falls from left to right!