Question

write equations for the horizontal and vertical lines passing through the point ( - 7, 7). horizontal line: vertical line:

Explanation:

Step1: Recall equation of horizontal line

The equation of a horizontal line is of the form $y = k$, where $k$ is the $y$-coordinate of any point on the line.

Step2: Identify $y$-coordinate

The given point is $(-7,7)$. The $y$-coordinate is $7$. So the equation of the horizontal line is $y = 7$.

Step3: Recall equation of vertical line

The equation of a vertical line is of the form $x = h$, where $h$ is the $x$-coordinate of any point on the line.

Step4: Identify $x$-coordinate

The given point is $(-7,7)$. The $x$-coordinate is $- 7$. So the equation of the vertical line is $x=-7$.

Answer:

horizontal line: $y = 7$
vertical line: $x=-7$