Question

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

Answer 1

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=(5)/(4)x+(18)/(4)`

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

for x = -2:

`y=(5)/(4)(-2)+(18)/(4)=(-10)/(4)+(18)/(4)=(8)/(4)=2\to(-2,\ 2)`

for x = -6

`y=(5)/(4)(-6)+(18)/(4)=-(30)/(4)+(18)/(4)=-(12)/(4)=-3\to(-6,\ -3)`

for x = 2:

`y=(5)/(4)(2)+(18)/(4)=(10)/(4)+(18)/(4)=(28)/(4)=7\to(2,\ 7)`