which of the following shows the graph of the system 2x-3y=6 and 6x-9y=36.​

Which Of The Following Shows The Graph Of The System 2x3y6 And 6x9y36 class=

Sagot :

Answer:

Letter A

Step-by-step explanation:

2x - 3y = 6

Slope formula : y = mx + b

-3y = 6 - 2x

[tex] - y = \frac{6}{3} - \frac{2x}{3} \\ - y = 2 - \frac{2x}{3} \\ y = - 2 + \frac{2x}{3} \\ \\ Slope : \frac{2}{3} \\ y-intercept = (0, -2) \\ \\ [/tex]

6x - 9y = 36

-9y = 36 - 6x

[tex] - y = \frac{36}{9} - \frac{6x}{9} \\ - y = 4 - \frac{6x}{9} \\ y = - 4 + \frac{6x}{9} [/tex]

slope : ⅔

y-intercept = (0, -4)