Question

what are the slope and y-intercept of the linear graphed to the left?
○ slope: -2; y-intercept: 2
○ slope: $-\frac{1}{2}$; y-intercept: 1
○ slope: $\frac{1}{2}$; y-intercept: 2
○ slope: 2; y-intercept: 1

Explanation:

Step1: Identify y-intercept

The y-intercept is where the line crosses the y-axis. From the graph, this is at $y=1$, so the y-intercept is 1.

Step2: Calculate slope using two points

Choose two clear points on the line: $(0,1)$ (y-intercept) and $(2,0)$. Use the slope formula $m=\frac{y_2-y_1}{x_2-x_1}$.
$m=\frac{0-1}{2-0}=-\frac{1}{2}$

Answer:

slope: $-\frac{1}{2}$; y-intercept: 1