which linear inequality is represented by the graph?\n$y<\\frac{2}{3}x + 3$\n$y>\\frac{3}{2}x +…
which linear inequality is represented by the graph?\n$y<\\frac{2}{3}x + 3$\n$y>\\frac{3}{2}x + 3$\n$y>\\frac{2}{3}x + 3$\n$y<\\frac{3}{2}x + 3$
Answer
Explanation:
Step1: Determine the slope and y-intercept
The line crosses y-axis at (0,3), y-intercept is 3. Using points (0,3) and (-3,1), slope ( m = \frac{1-3}{-3-0} = \frac{2}{3} ).
Step2: Identify the inequality symbol
The line is dashed (not solid), so symbol is ( < ) or ( > ).
Step3: Determine shading direction
Shading is above the line, so inequality is ( y > \frac{2}{3}x + 3 ).
Answer:
C. ( y> \frac{2}{3}x+3 )