what are the slope and y - intercept of the linear function graphed to the left?\no slope: -2; y…

what are the slope and y - intercept of the linear function graphed to the left?\no slope: -2; y - intercept: 2\no slope: -\\frac{1}{2}; y - intercept: 1\no slope: \\frac{1}{2}; y - intercept: 2\no slope: 2; y - intercept: 1

what are the slope and y - intercept of the linear function graphed to the left?\no slope: -2; y - intercept: 2\no slope: -\\frac{1}{2}; y - intercept: 1\no slope: \\frac{1}{2}; y - intercept: 2\no slope: 2; y - intercept: 1

Answer

Explanation:

Step1: Identify y - intercept

The line crosses the y - axis at y = 1, so the y - intercept is 1.

Step2: Calculate the slope

Use two points on the line, say (0, 1) and (2, 0). The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Here, $x_1 = 0,y_1 = 1,x_2=2,y_2 = 0$. Then $m=\frac{0 - 1}{2 - 0}=-\frac{1}{2}$.

Answer:

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