Question

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

Answer 1

Answer:

slope rise 3 run 2 1/2

Step-by-step explanation:

if you start from the bottom and if you start from the top it's -3 and -2 1/2

Answer 2

Answer: The slope is 3 and the y-intercept is 3/2

Step-by-step explanation:

The slope of a linear function can be calculated as:

s = (y2 - y1)/(x2 - x1)

Where y2 = f(x2) and y1 = f(x1) and f(x) is the linear function.

So here we can use any two pairs of the set of data, for example, the first two.

(-1 , -3/2) and (-1/2,0)

s = (0 -(-3/2))/(-1/2 - (-1)) = (3/2)/(1/2) =(3/2)*(2/1) = 3

So the slope is equal to 3.

the y-intercept is the value of y when x = 0, in the table we can see that when x = 0. the value of y = 3/2

So the function is: y = 3*x + 3/2

and the correct option is the fourth one.