what is the slope of this line?\nsimplify your answer and write it as a proper fraction, improper fraction…

what is the slope of this line?\nsimplify your answer and write it as a proper fraction, improper fraction, or integer

what is the slope of this line?\nsimplify your answer and write it as a proper fraction, improper fraction, or integer

Answer

Explanation:

Step1: Recall the slope formula

The slope formula is (m=\frac{y_2 - y_1}{x_2 - x_1}), where ((x_1,y_1)) and ((x_2,y_2)) are two points on the line.

Step2: Identify the two points

Here, ((x_1,y_1)=(0,0)) and ((x_2,y_2)=(6,1)).

Step3: Substitute the values into the formula

Substitute (x_1 = 0,y_1 = 0,x_2 = 6,y_2 = 1) into (m=\frac{y_2 - y_1}{x_2 - x_1}), we get (m=\frac{1 - 0}{6 - 0}).

Step4: Simplify the fraction

(m=\frac{1}{6}).

Answer:

(\frac{1}{6})