Question

graph the line that passes through the points (-5, 6) and (8, 6) and determine the equation of the line.

Explanation:

Step1: Identify y-values of points

Both points have $y=6$

Step2: Calculate slope of the line

Slope $m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{6 - 6}{8 - (-5)} = \frac{0}{13} = 0$

Step3: Determine line equation

A horizontal line with slope 0 has the form $y = k$, where $k$ is the constant y-value.

Answer:

Equation: $y = 6$
(To graph the line: plot the points $(-5, 6)$ and $(8, 6)$, then draw a straight horizontal line through them that spans the entire coordinate grid at $y=6$.)