Question

Find the point of intersection of the line represented by the equation 7x+y=-2 with x-axis, Check whether the point (2,1) is a solution of the given equation.

Answer 1

Answer:

The point of intersection is(1,0)

(2,1) is not the solution of the given equation.

Answer 2

Answer:

(i) point (-2/7)

(ii) No.

Given:

equation of line: 7x + y = -2

point (2,1)

To find:

point of intersection of the line  with x-axis.

Step-by-step explanation:

let us consider point on x-axis be (x,0)

As, the line passes through this point.

point (x,0) must satisfy equation 7x + y = -2

⇒ 7x + 0 = -2

⇒ 7x = -2

⇒ x = -2/7

hence, point pf intersection of line and x-axis is (-2/7).

Now, check if point (2,1) is solution of equation.

7x + y = -2

7(2) + 1 = -2

14 + 1 = -2

15 ≠ -2

Therefore, the point (2,1) does not satisfy equation 7x + y = -2.

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