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Eduardwww [97]
3 years ago
5

Which function has a greater slope and y-intercept than the linear function represented in the table?

Mathematics
1 answer:
Sav [38]3 years ago
5 0

Answer:

B) y=3x+7.5

Step-by-step explanation:

The equation of the data in the table can be obtained by using any two points.

We will use points (3, 13) and (5,17)

<u>The slope - intercept form is: </u>

  • y = mx  + b

<u>We find the slope as:</u>

  • m = (17-13)/(5-3) = 4/2 = 2

<u>The equation becomes:</u>

  • y = 2x + b

<u>To find the value of b, the y -intercept is:</u>

  • 13 = 2*3 + b ⇒ b= 13 - 6 = 7

<u>So the equation is:</u>

  • y = 2x + 7

<u />

<h3>Now let's compare this with the options</h3>

A) y = 2x + 8.5

  • The slope is 2, and y- intercept is 8.5
  • It has same slope and greater y-intercept
  • Answer is <u>no</u>

B) y=3x+7.5

  • The slope is 3, and y- intercept is 7.5
  • It has greater slope and greater y-intercept
  • Answer is <u>yes</u>

C) y=5x+6.5

  • The slope is 5, and y- intercept is 7.5
  • It has greater slope but smaller y-intercept
  • Answer is <u>no</u>

D) y=10x+5.5

  • The slope is 10, and y- intercept is 5.5
  • It has greater slope but smaller y-intercept
  • Answer is <u>no</u>

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