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anonymous
 one year ago
I don't just want the answer... I want help on how to figure this out... I don't understand it pleasssseeee I will give medals
The table below represents a linear function f(x) and the equation represents a function g(x):
x f(x)
−1 −9
0 −1
1 7
g(x)
g(x) = 3x − 2
Part A: 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).
anonymous
 one year ago
I don't just want the answer... I want help on how to figure this out... I don't understand it pleasssseeee I will give medals The table below represents a linear function f(x) and the equation represents a function g(x): x f(x) −1 −9 0 −1 1 7 g(x) g(x) = 3x − 2 Part A: 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).

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mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.2The slope of the line that passes through points \((x_1, y_1)\) and \((x_2, y_2)\) is \(m = \dfrac{y_2  y_1}{x_2  x_1} \)

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.2When the equation of a line is written in the slopeintercept form, \(y = mx + b\), m is the slope, and b is the ycoordinate of the yintercept.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0right i have that so far 1 (9) over 0(1) =8

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.2To find the slope of function f(x), choose any to points from that function. I see that you are using the points (1, 9) and (0, 1). \(m = \dfrac{1  (9)}{0  (1)} = \dfrac{8}{1} = 8\) You are correct. the slope of function f(x) is 8. Now notice that function g(x) is written in the slopeintercept form, so you can read the slope right off the equation. What is the slope of the function g(x)?

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.2Correct. The slope of f(x) is 8, and the slope of g(x) is 3. That takes care of part A.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I guess im confused they want a sentence how would i write that or am i reading into it to much :(

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.2I can tell you what to write, but it's already written above. Use your own calculation of the slope to show how you found the slope of f(x). Then state that the slope of g(x) is 3 because g(x) is written in the slopeintercept form, which allows you to read the slope right off the equation.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0so for part b f(x) is steeper/Bigger than G(x) because the slope of F(x) is 8 and the slope of G(x) is only 3 ... is this correct

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.2Part A dealt with the slopes. Part B deals with the yintercepts, not slopes.

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.2The yintercept is the point where the line crosses the yaxis. It is b in the slopeintercept equation of a line.

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.2We know b for the g(x). It is 2 for g(x). Now we need to find b for f(x).

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.2Let's find the slopeintercept form of the equation of f(x) y = mx + b For f(x), we know m = 8 since we calculated it in part A. We have: y = 8x + b

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.2We need to find b. We can use any point in f(x) to find b. Let's use point (0, 1) y = 8x + b 1 = 8(0) + b 1 = b b = 1 That means the equation of f(x) is: f(x) = 8x  1

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.2Now we see the yintercept of f(x) is 1, and the yintercept of g(x) is 2. Now we can compare them.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0ohh so F(x) is bigger because it is 1 and G9x) is 2

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0that should say G(x) is 2

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.2You are correct. You mean to say: The yintercept of function f(x) is greater than the yintercept of function g(x) because 1 is greater than 2.
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