Question

write the equation of a line that passes through the point (7, - 4) and is parallel to the x - axis. equation: write the equation of a line that passes through the point (7, - 4) and is perpendicular to the x - axis. equation:

Explanation:

Step1: Recall line - x - axis parallel property

Lines parallel to the x - axis have the form $y = k$, where $k$ is a constant. The y - coordinate of the given point $(7,-4)$ is $-4$. So the equation of the line parallel to the x - axis passing through $(7,-4)$ is $y=-4$.

Step2: Recall line - x - axis perpendicular property

Lines perpendicular to the x - axis have the form $x = h$, where $h$ is a constant. The x - coordinate of the given point $(7,-4)$ is $7$. So the equation of the line perpendicular to the x - axis passing through $(7,-4)$ is $x = 7$.

Answer:

1. Equation: $y=-4$
2. Equation: $x = 7$