Question

draw the graph on the equation 2x+3y=6 and find the value of y when x =-3​

Answer 1

$2x + 3y = 6$

given:

$x = - 3$

$2( - 3) + 3y = 6 \\ \\ - 6 + 3y = 6 \\ \\ 3y = 6 + 6 \\ \\ 3y = 12 \\ \\ y = \frac{12}{3} \\ \\ y = 4$

y = 4 is the answer

Answer 2

Step-by-step explanation:

Lets reform the equation in its standard form of y=mx+c

2x+3y=6

y=−2x/3+2

Slope=−2/3,y−intercept=2

Only line with y-intercept=2 is (IV)

And it has negative slope too.

Hence, IV represents graph of 2x+3y=6.