what are the slope and y-intercept of the linear function graphed to the left?○ slope: -2, y-intercept: 2○…

what are the slope and y-intercept of the linear function 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

what are the slope and y-intercept of the linear function 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

Answer

Explanation:

Step1: Identify y-intercept

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

Step2: Calculate slope using two points

Use points $(0,1)$ and $(2,0)$. Slope formula: $m=\frac{y_2-y_1}{x_2-x_1}$ $\displaystyle m=\frac{0-1}{2-0}=-\frac{1}{2}$

Answer:

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