Given the graph of a line
As shown : the line passes with points (0 , 3 ) and ( 4 , -1 )
The general slope intercept form is : y = m * x + b
Where m is the slope and b is y- intercept
[tex]slope=m=\frac{rise}{run}=\frac{y_2-y_1}{x_2-x_1}=\frac{-1-3}{4-0}=\frac{-4}{4}=-1[/tex]
The point of y- intercept is = ( 0 , 3 )
[tex]b=3[/tex]
Substitute with m and b at the general form
So, the equation of the line will be :
[tex]y=-x+3[/tex]
So ,the answer is the first option: y = -1x + 3
