Question

what is the slope of the line?

Explanation:

Step1: Select two points on the line

Let's choose \((0,0)\) and \((27,12)\)

Step2: Use the slope formula \(m=\frac{y_2 - y_1}{x_2 - x_1}\)

Substitute \(x_1 = 0,y_1=0,x_2 = 27,y_2 = 12\) into the formula:
\(m=\frac{12-0}{27 - 0}=\frac{12}{27}\)

Step3: Simplify the fraction

Divide numerator and denominator by their greatest - common divisor (GCD). The GCD of 12 and 27 is 3.
\(\frac{12\div3}{27\div3}=\frac{4}{9}\)

Answer:

\(\frac{4}{9}\)