Step-by-step explanation:
Convert the equation to the slope-intercept form (y = mx + b):
[tex]2y=3x+11[/tex] divide both sides by 2
[tex]y=\dfrac{3}{2}x+\dfrac{11}{2}[/tex]
Choose any three values of x and calculate the values od y:
for x = -3
[tex]y=\dfrac{3}{2}(-3)+\dfrac{11}{2}=\dfrac{-9}{2}+\dfrac{11}{2}=\dfrac{2}{2}=1\to(-3,\ 1)[/tex]
for x = -2
[tex]y=\dfrac{3}{2}(-1)+\dfrac{11}{2}=\dfrac{-3}{2}+\dfrac{11}{2}=\dfrac{8}{2}=4\to(-1,\ 4)[/tex]
for x = 1
[tex]y=\dfrac{3}{2}(1)+\dfrac{11}{2}=\dfrac{3}{2}+\dfrac{11}{2}=\dfrac{14}{2}=7\to(1,\ 7)[/tex]
