y = -2/5 x + 4 (option 2)
Explanation:Equation of line: y = mx + b
m = slope, b = y-intercept
Slope formula:
[tex]m\text{ = }\frac{y_2-y_1}{x_2-x_1}[/tex]Using points (5, 2) and (0, 4)
[tex]\begin{gathered} x_1=5,y_1=2,x_2=0,y_2\text{ = }4 \\ \text{slope = }\frac{4-2}{0-5}=\text{ }\frac{2}{-5} \\ \text{slope = -2/5} \end{gathered}[/tex]The y -intercept is point the line crosses the y axis. The point is at y = 4
b = 4
The equation of the line becomes:
y = -2/5 x + 4 (option 2)
