d
step-by-step explanation:
the two points from this line are (0,4) & (2,-2)
we can call
![x_1=0\\y_1=4\\x_2=2\\y_2=-2](/tex.php?f=x_1=0\\y_1=4\\x_2=2\\y_2=-2)
now, lets find the slope (m):
![m=\frac{y_2-y_1}{x_2-x_1}\\m=\frac{-2-4}{2-0}\\m=-\frac{6}{2}\\m=-3](/tex.php?f=m=\frac{y_2-y_1}{x_2-x_1}\\m=\frac{-2-4}{2-0}\\m=-\frac{6}{2}\\m=-3)
now finding b (the y intercept). this is the point at the y-axis where the line cuts the axis. looking at the graph, it is y = 4. so the point is 4. hence b = 4
the slope-intercept form is given by ![y=mx+b](/tex.php?f=y=mx+b)
putting the points, we have:
![y=-3x+4](/tex.php?f=y=-3x+4)
d is the correct answer.