Question

graph the following linear equations.

1. $x = 7$
2. $y = -2$

Explanation:

Problem 19: Graph \( x = 7 \)

Step 1: Understand the Equation Type

The equation \( x = 7 \) is a vertical line. For any value of \( y \), \( x \) is always 7. So we can choose some \( y \)-values (e.g., \( y = -2, 0, 2 \)) and the corresponding \( x \)-value is 7. So the points are \( (7, -2) \), \( (7, 0) \), \( (7, 2) \).

Step 2: Plot the Points and Draw the Line

On the coordinate grid, find the vertical line where \( x = 7 \) (7 units to the right of the origin on the x - axis). Plot the points we found and draw a straight vertical line through them.

Problem 20: Graph \( y = -2 \)

Step 1: Understand the Equation Type

The equation \( y=-2 \) is a horizontal line. For any value of \( x \), \( y \) is always - 2. So we can choose some \( x \)-values (e.g., \( x=-2, 0, 2 \)) and the corresponding \( y \)-value is - 2. So the points are \( (-2, -2) \), \( (0, -2) \), \( (2, -2) \).

Step 2: Plot the Points and Draw the Line

On the coordinate grid, find the horizontal line where \( y = - 2 \) (2 units below the origin on the y - axis). Plot the points we found and draw a straight horizontal line through them.

Answer:

(Graph Description):

1. A vertical line passing through \( x = 7 \) (all points with \( x = 7 \) and any \( y \)).
2. A horizontal line passing through \( y=-2 \) (all points with \( y = - 2 \) and any \( x \)).