Question

rate of change =
7, 8) with a slope of zero:
(hoy/vux)
(3, 2) and has an undefined slope.
(hoy/vux)
the grid?
8.
equation:

slope:

lues for point - slope form.
5)

1. point: (1, -8)

slope: \\(\frac{2}{3}\\)

1. point: (-4, -9)

slope: -5
\\((x - x_1)\\)

Explanation:

Step1: Identify the line type

The graph shows a vertical line. Vertical lines have an undefined slope (since slope is $\frac{\Delta y}{\Delta x}$ and $\Delta x = 0$ for vertical lines, division by zero is undefined).

Step2: Find the x - coordinate

Looking at the graph, the vertical line passes through $x = 6$ (since it's a vertical line, all points on it have $x = 6$ regardless of $y$). So the equation of a vertical line is $x = a$, where $a$ is the x - coordinate it passes through.

Step3: Determine the slope

For a vertical line, the slope is undefined (because the change in $x$ ($\Delta x$) is 0, and slope $m=\frac{\Delta y}{\Delta x}$, and division by zero is undefined).

Answer:

Equation: $x = 6$; Slope: Undefined