Question

6. For what value of k, the following pair of linear equations graphically will
represent intersecting lines?
3x - 7y - 3 = 0 and 2x + ky + 7 =0​

Answer 1

Answer:

any no.

as intersecting lines have a1/a2 is not eqial to b1/b2

Answer 2

Answer:

k = -14/3

Step-by-step explanation:

Intersecting lines are obtained when we have

a1/b1 ≠ a2/b2

The general form of the equation in two variables is

a1x + b1y + c1 = 0

a2x + b2y + c2 = 0

In the given eqautions,

a1 = 3, b1 = 2, a2 = -7, b2 = k, c1 = -3, c2 = 7

3/2 ≠ -7/k

k = -7 X 2/3 = -14 / 3

Thus, k = -14/3