Question

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

Answer 1

Hey there,

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

• 
  `(y_(2) - y_(1) )/(x_(2) - x_(1) )`

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

• 
  `(3 - 2)/(1- 0)` =
  `(1)/(1)` = 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