Question

a line is graphed on a coordinate grid. the equation of the line is select and the slope of the line is select. the line is select to the select. it select a function.

Explanation:

Step1: Identify the line type

Since the line is vertical (parallel to the y - axis), the equation of a vertical line passing through the x - coordinate of any point on the line is of the form $x = a$. If we assume the line passes through $x=-8$, the equation of the line is $x=-8$.

Step2: Calculate the slope

The slope $m$ of a line is given by the formula $m=\frac{y_2 - y_1}{x_2 - x_1}$. For a vertical line, $x_1=x_2$. So, the denominator $x_2 - x_1 = 0$. Division by zero is undefined, so the slope of a vertical line is undefined.

Step3: Determine the relationship to axes

A vertical line is parallel to the y - axis and perpendicular to the x - axis.

Step4: Check if it's a function

A relation is a function if for every x - value there is exactly one y - value. For a vertical line, there are infinitely many y - values for a single x - value. So, a vertical line is not a function.

Answer:

The equation of the line is $x = - 8$, the slope of the line is undefined, the line is parallel to the y - axis, perpendicular to the x - axis, and it is not a function.