kristencrossno kristencrossno
  • 22-01-2019
  • Mathematics
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What is the slope-intercept equation for the line below? (0,1) (4,3)

What is the slopeintercept equation for the line below 01 43 class=

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gmany
gmany gmany
  • 22-01-2019

The slope-intercept form:

[tex]y=mx+b[/tex]

m - slope

b - y-intercept → (0, b)

The formula of a slope:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

We have the points (4, 3) and (0, 1) → b = 1.

Calculate the slope:

[tex]m=\dfrac{1-3}{0-4}=\dfrac{-2}{-4}=\dfrac{1}{2}[/tex]

Answer: [tex]\boxed{D.\ y=\dfrac{1}{2}x+1}[/tex]

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