Answered

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Identify the function shown in this graph. 5 4 3 2 과 2 பான் O A. y = x + 4 ос B. y=-x+4 C. y= x-4 D. y=-x-4

Identify The Function Shown In This Graph 5 4 3 2 과 2 பன O A Y X 4 Ос B Yx4 C Y X4 D Yx4 class=

Sagot :

Given the graph of the line passes through the points ( -4 , 0 ) and ( 0 , 4 )

The general form of the line is : y = mx + b

where m is the slope and b is y-intercept

The slope will be calculated as following:

[tex]\text{slope}=m=\frac{y2-y1}{x2-x1}=\frac{4-0}{0-(-4)}=\frac{4-0}{0+4}=\frac{4}{4}=1[/tex]

b = y intercept = ( the value of y when x = 0 )

So, as the line pass through the point ( 0 , 4 )

b = 4

so, the equation of the line is:

[tex]y=x+4[/tex]

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