The description below represents Function A and the table represents Function B:

Function A

The function is 8 more than 3 times x.

Function B

x

y

-1

2

0

5

1

8

Which statement is correct about the slope and intercept of the two functions?

The expression in A is equal to:

y = 8 + 3x

It can be observed that the equation is in the slope-intercept form which is equal to,

y = mx + b

where m is slope and b is intercept.

The slope and intercept therefore of this equation of the line are equal to 3 and 8, respectively.

For Part B:

The slope of the line can be calculated through the equation,

m = (y₂ - y₁) / (x₂ - x₁)

Substituting,

m = (5 - 2) / (0 - - 1) = 1.5

The intercept, b, is the value of y when x = 0. From the tabulation, y = 5 when x = 0. Thus, the intercept is equal to 5.

Comparing the slopes and intercepts of the equations, we can say that the slope of the second is only half that of the first and the intercept of the second is 3 less than that of the first equation.