Question

What are the slope and the y-intercept of the linear function that is represented by the table?​

Answer 1

The slope -2 is and the y intercept is 12

Explanation:

First, let's find the slope. We'll use the equation m=(y2-y1)/(x2-x1) (m is the slope)

Let's take any two points from the graph. For example, let's take (-3, 18) and (0,12)

Now label the points

x1=-3

y1=18

x2=0

y2=12

now substitute into the equation

m=(12-18)/(0--3)

m=(12-18)/(0+3)

m=-6/3

m=-2

So the slope is -2.

The y intercept is the point in which the line crosses the y axis. The x value is 0, while the y value is a number. Looking at the table, the y intercept is actually there; it's the point (0,12) (the second point there)

Therefore the y intercept is 12

Hope this helps!