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What is the slope and Y intercept of (-2,0) (4,1)??!?!!??

Sagot :

Answer:

Slope= 1/6    Y-intercept= 1/3

Step-by-step explanation:

1-0=1

4-(-2)=6

Slope = 1/6

y-0= 1/6 (x-(-2))

y-0= 1/6x + 1/3

Y intercept is 1/3

Fieryanswererftidn
  • y-intercept =  [tex]\boxed{\sf \dfrac{1}{3}}[/tex]

  • slope =  [tex]\boxed{\dfrac{1}{6}}[/tex]

given coordinates: (-2,0) (4,1)

[tex]\sf slope \ formula:\dfrac{y2-y1}{x2-x1}[/tex]

→   [tex]\dfrac{1-0}{4--2}[/tex]

→      [tex]\dfrac{1}{6}[/tex]

equation:

→  [tex]\sf y - 0 = \dfrac{1}{6} ( x- -2)[/tex]

→  [tex]\sf y = \dfrac{1}{6} x + \dfrac{1}{3}[/tex]

To find y-intercept, put x as 0.

→  [tex]\sf y = \dfrac{1}{6} x +\dfrac{1}{3}[/tex]

→  [tex]\sf y = \dfrac{1}{6} (0) +\dfrac{1}{3}[/tex]

→  [tex]\sf y = \dfrac{1}{3}[/tex]

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