The slope intercept form is:
[tex]y=mx+b[/tex]Where
m is slope
b is y-intercept (y-axis cutting point)
Let's find the slope (m) using the 2 points given. The formula is:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Let's put the points (0,2) and (2,-4) and find the slope:
[tex]\begin{gathered} m=\frac{y_2-y_1}{x_2-x_1} \\ m=\frac{-4-2_{}}{2-0_{}}=-\frac{6}{2}=-3 \end{gathered}[/tex]The y intercept, y axis cutting point, is directly taken from the graph as "2".
Thus, now we can write:
[tex]y=-3x+2[/tex]