Given coordinates on the graph (0,4) and (2,-2).
In order to find the equation of line, we need to find the slope first.
We know formula for slope is given by,
[tex]m = \frac{y2-y1}{x2-x1}[/tex]
We have (x1,y1) = (0,4) and (x2,y2) = (2,-2).
Plugging values of x1, x2, y1 and y2 in slope formula.
We get,
[tex]m=\frac{-2-4}{2-0}=\frac{-6}{2}=-3.[/tex]
So, the slope m=-3.
From the graph, we can clearly see that y-intercept is 4. ( y-intercept is a point on y-axis, where line crosses y-axis).
Plugging values of slope m and y-inercept b in slope-intercept form y=mx+b.
y= -3x + 4.
Therefore, option C ) y= -3x +4 is correct option.
