Question

PLEASE HELP! Graph the linear equation. Find three points that solve the equation, then plot in the graph. 5x-4y=-18​

Answer 1

Step-by-step explanation:

Convert the equation to the slope-intercept form (y = mx + b):

$5x-4y=-18$             subtract 5x from both sides

$-4y=-5x-18$        divide both sides by (-4)

$y=\dfrac{5}{4}x+\dfrac{18}{4}$

Choose any three values of x ​​and calculate the values od y:

for x = -2:

$y=\dfrac{5}{4}(-2)+\dfrac{18}{4}=\dfrac{-10}{4}+\dfrac{18}{4}=\dfrac{8}{4}=2\to(-2,\ 2)$

for x = -6

$y=\dfrac{5}{4}(-6)+\dfrac{18}{4}=-\dfrac{30}{4}+\dfrac{18}{4}=-\dfrac{12}{4}=-3\to(-6,\ -3)$

for x = 2:

$y=\dfrac{5}{4}(2)+\dfrac{18}{4}=\dfrac{10}{4}+\dfrac{18}{4}=\dfrac{28}{4}=7\to(2,\ 7)$