Step-by-step explanation:
Convert the equation to the slope-intercept form (y = mx + b):
[tex]-5x-3y=-7[/tex] add 5x to both sides
[tex]-3y=5x-7[/tex] divide both sides by (-3)
[tex]y=-\dfrac{5}{3}x+\dfrac{7}{3}[/tex]
Choose any three values of x and calculate the values od y:
for x = -1:
[tex]y=-\dfrac{5}{3}(-1)+\dfrac{7}{3}=\dfrac{5}{3}+\dfrac{7}{3}=\dfrac{12}{3}=4\to(-1,\ 4)[/tex]
for x = 2:
[tex]y=-\dfrac{5}{3}(2)+\dfrac{7}{3}=-\dfrac{10}{3}+\dfrac{7}{3}=-\dfrac{3}{3}=-1\to(2,\ -1)[/tex]
for x = 5
[tex]y=-\dfrac{5}{3}(5)+\dfrac{7}{3}=-\dfrac{25}{3}+\dfrac{7}{3}=-\dfrac{18}{3}=-6\to(5,\ -6)[/tex]
