Question

4)
slope =
graph of a line on a coordinate plane with points, need to find the slope

Explanation:

Step1: Identify two points on the line

From the graph, we can see two points: \((0, -5)\) and \((2, 3)\).

Step2: Use the slope formula

The slope formula is \(m = \frac{y_2 - y_1}{x_2 - x_1}\). Let \((x_1, y_1) = (0, -5)\) and \((x_2, y_2) = (2, 3)\).
Substitute the values into the formula: \(m = \frac{3 - (-5)}{2 - 0}\)

Step3: Simplify the expression

Simplify the numerator and denominator: \(m = \frac{3 + 5}{2} = \frac{8}{2}\)

Step4: Calculate the slope

\(\frac{8}{2} = 4\)

Answer:

\(4\)