Not sure what does "Zero" mean. But I'll move with y-intercept, slope and slope intercept form.
The y-intercept is (0,4) because the graph passes through (0,4)
For the slope, look at the grid and the line, it's -2. Or we can solve this by using the ordered pairs.
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
(0,4) and (3,-2) both are the part of the graph, therefore.
[tex]m=\frac{-2-4}{3-0} \\m=-\frac{6}{3}\\m=-2[/tex]
So the slope is -2 and for the slope intercept form, it must be the equation.
We know that m = -2 and b = 4 because b is the y-intercept from y = mx+b where m is the slope and b is the y-intercept.
Thus, [tex]y=-2x+4[/tex] from the y = mx + b.
