The table below represents a linear function f(x) and the equation represents a function g(x).

Table:
x f(x)
0 30
1 32
2 34

Equation:
g(x)
g(x)=8x-25

Part 1. Write a sentence to compare the slope of the two functions and show the steps you used to determine the slope of f(x) and g(x).

Part 2. Which function has a great y-intercept?

Please help!

Question

The table below represents a linear function f(x) and the equation represents a function g(x).

Table:
x  f(x)
0  30
1  32
2  34

Equation:
g(x)
g(x)=8x-25

Part 1. Write a sentence to compare the slope of the two functions and show the steps you used to determine the slope of f(x) and g(x).

Part 2. Which function has a great y-intercept?

Please help!

campbell_st · Answer

ok... did you get an equation from the table..?

anonymous · Answer

Not yet. I'm not sure how to. :/

campbell_st · Answer

well the equation for the table is

y = 2x + 30                 slope   (32 -30)/(1-0) = 2  when x = 0, y = 30

so now you have the equation

what can you say able the slopes..?

anonymous · Answer

I'm not sure. I don't understand very well.

campbell_st · Answer

ok... for any linear  equation the slope intercept form is 

y  = mx + b

m is the slope of the line 

b is the y-intercept, or where the line cuts the y axis

so f(x) has a slope of 2
    g(x) has a slope of 8

the larger the number for the slope, the steeper the line. 

|dw:1383677258546:dw|

so the questions... 

so to answer question 1. 

you can say, the point slope form of a line is y = mx + b. f(x) has a slope of 2 and g(x) has a slope of 8, g(x) is the line with the steepest slope. 


Question 2

f(x) has a y intercept of 30 and g(x) has a y intercept of -25... so f(x) has the greater intercept. 
hope this helps

anonymous · Answer

Thanks, this help A LOT! :D