Let’s analyze the questions in the image and find the slopes for the given equations:

Question 17:
The equation is $y = -7x + 6$.

• The equation is in slope-intercept form: $y = mx + b$, where $m$ is the slope and $b$ is the y-intercept.
• Here, $m = -7$.

Answer: The slope is $-7$.

Question 18:
The equation is $y = x + 2$.

• Again, this is in slope-intercept form $y = mx + b$.
• Here, $m = 1$, as the coefficient of $x$ is $1$.

Answer: The slope is $1$.

Would you like a detailed explanation of the slope-intercept form or further clarification?

Here are 5 related questions to deepen your understanding:

1. How can you determine the slope of a line if the equation is not in slope-intercept form?
2. What is the slope of a vertical line, and why is it undefined?
3. How does the slope of a line relate to its steepness and direction?
4. Can you write the equation of a line if the slope and a point are given?
5. What does the slope represent in real-world applications, such as in physics or economics?

Tip: To quickly identify the slope, always rewrite the equation in $y = mx + b$ form, if it’s not already.