Question

Determine the most convenient method to graph the following line.

Answer 1

Step-by-step explanation:

3x + 2y = 12

2y = 12 - 3x

y = 6 - 3/2 x

so, it is a regular line, not horizontal, not vertical.

the easiest way to graph it is to find the 2 intercepts at the x- and at the y-axis (setting x = 0 gives us the y value for the y-axis intercept, setting y = 0 gives us the x value for the x-axis intercept).

then use a ruler and draw a line through both points and well beyond these 2 points.

x = 0

3×0 + 2y = 12

2y = 12

y = 6

point (0, 6)

y = 0

3x + 2×0 = 12

3x = 12

x = 4

point (4, 0)