anonymous
  • anonymous
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).
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
jamiebookeater
  • jamiebookeater
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mathstudent55
  • mathstudent55
The 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
  • mathstudent55
When the equation of a line is written in the slope-intercept form, \(y = mx + b\), m is the slope, and b is the y-coordinate of the y-intercept.
anonymous
  • anonymous
right i have that so far -1 -(-9) over 0-(-1) =8

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mathstudent55
  • mathstudent55
To 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 slope-intercept form, so you can read the slope right off the equation. What is the slope of the function g(x)?
anonymous
  • anonymous
3
mathstudent55
  • mathstudent55
Correct. The slope of f(x) is 8, and the slope of g(x) is 3. That takes care of part A.
anonymous
  • anonymous
ok wait
anonymous
  • anonymous
I guess im confused they want a sentence how would i write that or am i reading into it to much :(
mathstudent55
  • mathstudent55
I 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 slope-intercept form, which allows you to read the slope right off the equation.
anonymous
  • anonymous
oh ok sorry
anonymous
  • anonymous
so 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
anonymous
  • anonymous
@mathstudent55
mathstudent55
  • mathstudent55
Part A dealt with the slopes. Part B deals with the y-intercepts, not slopes.
mathstudent55
  • mathstudent55
The y-intercept is the point where the line crosses the y-axis. It is b in the slope-intercept equation of a line.
mathstudent55
  • mathstudent55
We know b for the g(x). It is -2 for g(x). Now we need to find b for f(x).
mathstudent55
  • mathstudent55
Let's find the slope-intercept 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
  • mathstudent55
We 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
  • mathstudent55
Now we see the y-intercept of f(x) is -1, and the y-intercept of g(x) is -2. Now we can compare them.
anonymous
  • anonymous
ohh so F(x) is bigger because it is -1 and G9x) is -2
anonymous
  • anonymous
that should say G(x) is -2
anonymous
  • anonymous
@mathstudent55
mathstudent55
  • mathstudent55
You are correct. You mean to say: The y-intercept of function f(x) is greater than the y-intercept of function g(x) because -1 is greater than -2.
anonymous
  • anonymous
awesome thank you
mathstudent55
  • mathstudent55
yw

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