Step-by-step explanation:
Convert the equation to the slope-intercept form (y = mx + b):
[tex]5x-4y=-18[/tex] subtract 5x from both sides
[tex]-4y=-5x-18[/tex] divide both sides by (-4)
[tex]y=\dfrac{5}{4}x+\dfrac{18}{4}[/tex]
Choose any three values of x and calculate the values od y:
for x = -2:
[tex]y=\dfrac{5}{4}(-2)+\dfrac{18}{4}=\dfrac{-10}{4}+\dfrac{18}{4}=\dfrac{8}{4}=2\to(-2,\ 2)[/tex]
for x = -6
[tex]y=\dfrac{5}{4}(-6)+\dfrac{18}{4}=-\dfrac{30}{4}+\dfrac{18}{4}=-\dfrac{12}{4}=-3\to(-6,\ -3)[/tex]
for x = 2:
[tex]y=\dfrac{5}{4}(2)+\dfrac{18}{4}=\dfrac{10}{4}+\dfrac{18}{4}=\dfrac{28}{4}=7\to(2,\ 7)[/tex]
