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]
