Question

what is the slope of this line?
(0, 6)
(4, 2)
1
-1
0
undefined

Explanation:

Step1: Recall slope formula

The slope \( m \) between two points \((x_1, y_1)\) and \((x_2, y_2)\) is given by \( m=\frac{y_2 - y_1}{x_2 - x_1} \).

Step2: Identify the points

We have two points \((0, 6)\) (so \(x_1 = 0\), \(y_1 = 6\)) and \((4, 2)\) (so \(x_2 = 4\), \(y_2 = 2\)).

Step3: Substitute into the formula

Substitute the values into the slope formula: \( m=\frac{2 - 6}{4 - 0} \).

Step4: Calculate the numerator and denominator

First, calculate the numerator: \(2 - 6=-4\). Then, calculate the denominator: \(4 - 0 = 4\).

Step5: Simplify the fraction

Simplify \(\frac{-4}{4}=-1\).

Answer:

-1