Which graph matches the linear equation: −2x+3y=−6

Answer 1

To graph the equation −2x + 3y = −6, we need to rewrite it in slope-intercept form y = mx + b, where m is the slope and b is the y-intercept.

We can start by isolating y.

−2x + 3y = −6
Add 2x to both sides:
3y = 2x - 6
Divide both sides by 3:
y = (2/3)x - 2

Now we can identify the slope and y-intercept. The slope is 2/3 and the y-intercept is -2.

Using this information, we can say that the graph of the linear equation −2x + 3y = −6 corresponds to the graph represented by Graph B.