Determine the equation of each line below using the given point and slope. Use variables $$ x $$ and $$ y $$. Simplify your answers. A) Point: $$ (4,6) $$, Slope: Undefined Equation of the line: B) Point: $$ (7,-7) $$, Slope: $$ m=0 $$ Equation of the line: Submit Question

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To determine the equations of the lines based on the given points and slopes, we will analyze each case separately.

### A) Point: $$ (4,6) $$, Slope: Undefined

An undefined slope indicates a vertical line. The equation of a vertical line can be expressed in the form $$ x = a $$, where $$ a $$ is the x-coordinate of the point through which the line passes.

Since the point is $$ (4, 6) $$, the equation of the line is:
$$
x = 4
$$

### B) Point: $$ (7,-7) $$, Slope: $$ m=0 $$

A slope of zero indicates a horizontal line. The equation of a horizontal line can be expressed in the form $$ y = b $$, where $$ b $$ is the y-coordinate of the point through which the line passes.

Since the point is $$ (7, -7) $$, the equation of the line is:
$$
y = -7
$$

### Summary of the Equations
- A) Equation of the line: $$ x = 4 $$
- B) Equation of the line: $$ y = -7 $$
A) $$ x = 4 $$ B) $$ y = -7 $$

Determine the equation of each line below using the given point and slope. Use variables \( x \) and \( y \). Simplify your answers. A) Point: \( (4,6) \), Slope: Undefined Equation of the line: B) Point: \( (7,-7) \), Slope: \( m=0 \) Equation of the line: Submit Question

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