What are the slope and the y-intercept of the linear function that is represented by the table?
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Answer:
The slope -2 is and the y intercept is 12
Step-by-step 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!