Answer:
See explanation below, and see attached photo for graphs
Step-by-step explanation:
To graph 3x + y = 6, find the x and y intercepts.
We get the x intercept when y = 0, so plug in 0 for y and solve...
3x + 0 = 6
3x = 6
x = 2, so the x intercept is at (2, 0)
We get the y intercept when x = 0, so plug in 0 for x and solve...
3(0) + y = 6
y = 6, so the y intercept is at (0, 6)
Plot those two points and draw a line through them
To graph -3x - 4y = 12, find the x and y intercepts.
We get the x intercept when y = 0, so plug in 0 for y and solve...
-3x - 4(0) = 12
-3x = 12
x = -4, so the x intercept is at (-4, 0)
We get the y intercept when x = 0, so plug in 0 for x and solve...
-3(0) - 4y = 12
-4y = 12
y = -3, so the y intercept is at (0, -3)
Plot those two points and draw a line through them
