Question

Find points where the line 2x+3y=6 intersects x-axis and y-axis. Solve this in two different ways.

Answer 1

Answer:

(3,0) and (0,2)

Step-by-step explanation:

2x + 3y = 6

The point of intersection on x-axis has y-coordinate 0

So, 2x + 3×0 = 6

2x = 6

x = 6/2 = 3

The point of intersection on y-axis has x-coordinate 0

So 2×0 + 3y = 6

3y = 6

y = 6/3 = 2

The points are, (3,0) and (0,2)