Question

The points of intersection of 2x - 3y = 6 with the coordinate axes are​

Answer 1

The point at which the line intersects Y-axis will have x-coordinate = 0

The point at which the line intersects X-axis will have y-coordinate = 0

Hence we put x=0 and y=0 in the equation

2x - 3y = 6

Put x=0                                              Put y=0

-3y = 6                                                 2x = 6

y = -2                                                     x = 3

Hence the points of intersection in the axes will be

(3,0) in the X-axis and

(0,-2) in the Y-axis

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Answer 2

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Step-by-step explanation:

$2x - 3y = 6 \\ \\ if \: it \: intersect \: with \: x \: axis \: then \: y \: = 0 \\ \\ 2x - 3(0) = 6 \\ \\ 2x = 6 \\ \\ x = 3 \\ \\ if \: it \: intersect \: with \: y \: axis \: then \: x = 0 \\ \\ 2(0) - 3y = 6 \\ \\ - 3y = 6 \\ \\ y = - 2$

Therefore

=> This line intersect with x - axis at (3,0)

=> this line intersects with y - axis at (0,-2)

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