Question

Select the correct graph of −4x + 3y = 6. (1 point)

Answer 1

`Line\ passing\ through\ (-1.5,0)\ and\ (0,2).\\\\Correct\ graph\ is\ attached.`

Explanation:

`The\ given\ equation\ represents\ a\ line\\\\`

y-intercept:

`Substitute\ x=0\\\\-4* 0+3y=6\\\\3y=6\\\\y=(6)/(3)\\\\y=2\\\\The\ line\ passes\ through\ the\ point\ (0,2).`

x-intercept:

`Substitute\ y=0\\\\-4x+3* 0=6\\\\-4x=6\\\\x=-(6)/(4)\\\\x=-1.5\\\\The\ line\ passes\ through\ the\ point\ (-1.5,0).`

The correct graph is attached.