Question

If the line 2x+6y=5 intersect the x-axis, then find the co-ordinate of point of

intersection.

(a) (-2.5, 0) (b) (2.5, 0) (c) (0, 2.5) (d) (0,-2.5)​

Answer 1

Answer:

We can do with hit and triel method

putting all the value of option

one by one

correct option is [b]

Put x=2.5 and y=0

2(2.5)+6(0)=5

5.0+0=5

5=5

So option B is true

Answer 2

The given question is If the line 2x+6y=5 intersects the x-axis, then find the coordinate of the point of intersection.

The equation of the line is

$2x + 6y = 5$

which intersects the x-axis.

we have to find the coordinates of the point of intersection.

The given options are

(a) (-2.5, 0)

(b) (2.5, 0)

(c) (0, 2.5)

(d) (0,-2.5)

As per the question, the value intersects the x-axis which means the y coordinate will be zero.

The line lies on the x-axis, where y = 0.

The line lies on the y-axis, where x = 0.

By the above observation, we can ignore options c and d.

Our final answer will be either a or b.

let's substitute the value of the option a and b in the given equation.

$2x + 6y = 5$

let us substitute the option a in the equation, we get

(-0.25,0)

$2( - 0.25) + 6(0 ) = 5 \\ - 5 + 0 = 5 \\ - 5= 5$

Option a is not correct.

let us substitute option b we get

$2(0.25) + 6(0) = 5 \\ 5 = 5$

The value matches the equation.

Therefore, option B satisfies the equation.

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