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Which of the following linear function represent the given points? (0,2) and (1,3) *

A. y=2x+2
B. y=2x+3
C. y=x+2
D. y=x+3

Respuesta :

aaaamnaaah

Hey there,

Given two points we need to first find the slope of the equation using:

  • [tex]\frac{y_{2} - y_{1} }{x_{2} - x_{1} }[/tex]

So we plug in using (0, 2) and (1, 3):

  • [tex]\frac{3 - 2}{1- 0}[/tex] = [tex]\frac{1}{1}[/tex] = 1

The slope would be 1 of the equation and since one of the points has the x-value at 0 that means 2 would be the y-intercept. Now using the slope intercept form you plug in the slope and the y-intercept:

  • y = x + 2

The correct answer would be C.

Hope I helped,

Amna

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