Question

Need the slope and y intercept

Answer 1

• slope: -1/2
• y-intercept: 3

Explanation:

You want the slope and y-intercept of the linear function shown in the table.

Slope

The hint tells you how to find the slope. It is convenient to choose two points in the table that make it easy to compute. Here, we choose to use the third line (x, y) = (0, 3), and the fifth line (x, y) = (2, 2).

The change in y is 2 -3 = -1.

The change in x is 2 - 0 = 2.

The slope is ...

`\text{slope}=\frac{\text{change in y}}{\text{change in x}}=(-1)/(2)\\\\\boxed{\text{slope}=-(1)/(2)}`

Y-intercept

The y-intercept is the y-value when x=0. We can read that from the third line of the table:

y-intercept = 3

The corresponding point coordinates are (x, y) = (0, 3).