Question

PLEASE ANSWER

Write the equation of the line shown in the graph.

A. y = 2x + 1
B. y = x - 2
C. y = 2x - 1
D. y = x + 2

Answer 1

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Explanation:

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Answer 2

D : y = x + 2

Explanation:

First you gotta find the slope of the line. So given to points on the line ( whichever you like ), you calculate the slope like that:

Let A(1,3) and B(2,4) be the two points.

`slope = (difference \: in \: x)/(differece \: in \: y ) \\ = (y \: of \: a \: -y\: of \: b)/(x \: of \: a \: - \: x \: of \: b) \\ = ((3) - (4))/((1) - (2)) = ( - 1)/( - 1) = 1`

So the slope of the line is 1. The equation has the form : y = s x + b. Given that s = 1, we obtain,

y = x + b. Replace with the coordinates of a point you like, lets say A, and you get:

3 = 1 + b

b= 2

So the final answer is y = x + 2