Question

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

Answer 1

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:

`\text{slope}=m=(y2-y1)/(x2-x1)=(4-0)/(0-(-4))=(4-0)/(0+4)=(4)/(4)=1`

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:

`y=x+4`