Question

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

Answer 1

Answer:

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

Step-by-step explanation:

$The\ given\ equation\ represents\ a\ line$

y-intercept:

$Substitute\ x=0\\\\-4\times 0+3y=6\\\\3y=6\\\\y=\frac{6}{3}\\\\y=2\\\\The\ line\ passes\ through\ the\ point\ (0,2).$

x-intercept:

$Substitute\ y=0\\\\-4x+3\times 0=6\\\\-4x=6\\\\x=-\frac{6}{4}\\\\x=-1.5\\\\The\ line\ passes\ through\ the\ point\ (-1.5,0).$

The correct graph is attached.