Answer:
A). slope less than 4 is of function 1, 2, 3.
B). y intercept closest to 0 is of function 1.
C). greatest y intercept is of function 2.
Step-by-step explanation:
A). Function 1,
Passes through two points (0, -1) and (1, -2)
Slope of the function = [tex]\frac{y-y'}{x-x'}[/tex]
= [tex]\frac{-2+1}{1-0}[/tex]
= [tex]\frac{-1}{1}[/tex]
= -1
Function 2,
Passes through two points (-2, 13) and (-1, 9)
Slope of the function = [tex]\frac{13-9}{-2+1}[/tex]
= [tex]\frac{4}{-1}[/tex]
= -4
Function 3,
The linear function is y = 3x + 2
Slope of the function = 3
Function 4,
Slope is given as 5.
Therefore, slope less than 4 is of function 1, 2, 3.
B). Function 1.
y intercept of the function = -1
Function 2,
It is given that point (0, 5) lies on the given function.
Therefore, y intercept will be 5.
Function 3,
y = 3x + 2
where y intercept is 2
Function 3,
It is given that y intercept = 2
Therefore, y intercept closest to 0 is of function 1.
C). As we have calculated in part B, greatest y intercept is of function 2.
