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.
