Respuesta :
Answer:
First point : (0, -3)
Second point : (2, 0)
Y-intercept : -3
Step-by-step explanation:
To tackle a question like this, the first thing you want to do is put the equation into y = mx + b form.
1.) 3x - 2y = 6
2.) -2y = -3x + 6 (bring 3x to the other side, using inverse operations)
3.) y = 1.5x - 3 (divide -2 on both sides, to isolate the variable y)
Now that you have the y-intercept (-3), you have your y value. Finally, just substitute the variable y from the original equation to solve for the x value.
1.) 3x - 2(-3) = 6
2.) 3x + 6 = 6 (multiply (-2) and (-3))
3.)3x = 0 (subtract 6 on both sides using inverse operations)
4.) x = 0
Now you have your first point which is (0, -3)!
To get your last point, just substitute your y coordinate from the original equation to get x.
1.) 3x - 2(0) = 6
2.) 3x - 0 = 6
3.) 3x = 6
4.) x = 2
Then, substitute the x coordinate from above in the original equation to get the y coordinate.
1.) 3(2) - 2y = 6
2.) 6 - 2y = 6
3.) -2y = 0
4.) y = 0
Second coordinate : (2, 0)
I hope this explanation was helpful!
