Question

4 find the slope m of the line in the graph below. m = 4

Explanation:

Step1: Identify two points on the line

From the graph, we can see that the line passes through the points \((2, 0)\) and \((4, 8)\) (we can also use other points, but these are clear).

Step2: Use the slope formula

The slope formula is \(m=\frac{y_2 - y_1}{x_2 - x_1}\). Let \((x_1,y_1)=(2,0)\) and \((x_2,y_2)=(4,8)\).
Substitute the values into the formula: \(m = \frac{8 - 0}{4 - 2}\)

Step3: Simplify the expression

Simplify the numerator and the denominator: \(m=\frac{8}{2}=4\)

Answer:

\(4\)