Question

1. find the slope and y-intercept of the line.

Explanation:

Step1: Recall slope formula

The slope \( m \) between two points \((x_1, y_1)\) and \((x_2, y_2)\) is \( m=\frac{y_2 - y_1}{x_2 - x_1} \). Let \((x_1, y_1)=(0, 2)\) and \((x_2, y_2)=(2, 0)\).
\[
m=\frac{0 - 2}{2 - 0}=\frac{-2}{2}=-1
\]

Step2: Find y - intercept

The y - intercept is the y - value when \( x = 0 \). From the point \((0, 2)\), when \( x = 0 \), \( y=2 \), so the y - intercept \( b = 2 \).

Answer:

Slope: \(-1\), y - intercept: \(2\)