Question: Vertical lines have a slope of zero and all of the y-coordinates are the same.
QUESTION 8
Which equation graphs a line that passes through the point $(-7, 5)$ and has a slope of zero?
$x = 5$
$x = -7$
$y = -7$
$y = 5$
1. **State the problem:** We need to find the equation of a line that passes through the point $(-7, 5)$ and has a slope of zero.
2. **Recall the rule for slope zero:** A line with slope zero is a horizontal line. This means all points on the line have the same $y$-coordinate.
3. **Apply the rule:** Since the line passes through $(-7, 5)$ and is horizontal, the $y$-coordinate for every point on the line is $5$.
4. **Write the equation:** The equation of a horizontal line is $y = c$, where $c$ is the constant $y$-value.
5. **Final answer:** The equation is $$y = 5$$