Question

graph the line $y = -7$.

Explanation:

Step1: Analyze the equation \( y = -7 \)

The equation \( y = -7 \) represents a horizontal line. For any horizontal line in the form \( y = k \) (where \( k \) is a constant), the \( y \)-coordinate of every point on the line is \( k \), and the \( x \)-coordinate can be any real number. So, all points on this line have the form \( (x, -7) \), where \( x \) can be any value (positive, negative, or zero).

Step2: Locate \( y = -7 \) on the coordinate plane

Looking at the given coordinate grid, we find the \( y \)-axis. The horizontal lines (parallel to the \( x \)-axis) are labeled with \( y \)-values. We need to find the line where the \( y \)-coordinate is \( -7 \). From the grid, we can see the markings for \( y \)-values: \( -8, -7, -6, \dots \). The line \( y = -7 \) is a horizontal line that passes through all points with \( y = -7 \), so it will be parallel to the \( x \)-axis and pass through the point \( (0, -7) \) (the \( y \)-intercept) as well as other points like \( (1, -7) \), \( (-1, -7) \), \( (2, -7) \), \( (-2, -7) \), etc. To graph it, we draw a straight horizontal line through these points, ensuring it is parallel to the \( x \)-axis and passes through \( y = -7 \) on the \( y \)-axis.

Answer:

To graph \( y = -7 \), draw a horizontal line parallel to the \( x \)-axis that passes through all points with a \( y \)-coordinate of \( -7 \) (e.g., \( (0, -7) \), \( (1, -7) \), \( (-1, -7) \), etc.) on the given coordinate grid.