What are the characteristics of the graph of the inequality \( y > -\frac{3}{5}x + 5 \)?
Answer (2)
-\frac{3}{5}x+5\\\\==================================\\\\y = -\frac{3}{5}x+5\\\\for\ x=0\to y=-\frac{3}{5}\cdot0+5=5\to A(0;\ 5)\\\\for\ x=5\to y=-\frac{3}{5}\cdot5+5=-3+5=2\to B(5;\ 2)"> y > − 5 3 x + 5 ================================== y = − 5 3 x + 5 f or x = 0 → y = − 5 3 ⋅ 0 + 5 = 5 → A ( 0 ; 5 ) f or x = 5 → y = − 5 3 ⋅ 5 + 5 = − 3 + 5 = 2 → B ( 5 ; 2 )
The graph of the inequality -\frac{3}{5}x + 5"> y > − 5 3 x + 5 features a dashed line with a negative slope, indicating the line itself is not included in the solution. The area above the line is shaded, representing the solutions that meet the inequality. Key points include the y-intercept at (0,5) and another point at (5,2).
;
