Question

1)
slope =
graph of a line on a coordinate plane with grid lines, x and y axes labeled, points on the line

Explanation:

Step1: Identify two points on the line

From the graph, we can identify two points: \((-6, 1)\) and \((-1, -4)\) (or other clear points, let's use these for calculation).

Step2: Use the slope formula

The slope formula is \(m = \frac{y_2 - y_1}{x_2 - x_1}\). Let \((x_1, y_1) = (-6, 1)\) and \((x_2, y_2) = (-1, -4)\).

Substitute into the formula: \(m = \frac{-4 - 1}{-1 - (-6)}\)

Step3: Simplify the expression

First, calculate the numerator: \(-4 - 1 = -5\)

Then, calculate the denominator: \(-1 - (-6) = -1 + 6 = 5\)

So, \(m = \frac{-5}{5} = -1\)

Answer:

\(-1\)