Question

Where does the line 2x+3y =6 cut x-axis ?

Answer 1

Answer:

Answer:

The point at which the graph of linear equation 2x + 3y = 6 cuts the y-axis is (0, 2).

Step-by-step explanation:

We have to find the point at which the graph of linear equation 2x + 3y=6 cuts the y-axis.

Firstly, as we know that the point on the y-axis will have the x-coordinate as 0, this means that the point at which the graph of linear equation 2x + 3y = 6 cuts the y-axis is '(0, y)'.

Now, substituting this coordinate into the given linear equation, we get;

2x + 3y = 6

2 * 0 + 3y = 6

0 + 3y = 6

3y = 6

y = 3/6

y= 2

Hence, the point at which the graph of linear equation 2x + 3y = 6 cuts the y-axis is y(0, 2).

Answer 2

Ques. The graph of the linear equation 2x + 3y = 6 is a line which meets the x-axis at the point

(A) (0, 2)

(B) (2, 0)

(C) (3, 0)

(D) (0, 3)

Answer:

Thus, the coordinate on $x$-axis is $(3, 0)$.

Step-by-step explanation:

Concept:

A linear equation in two variables is any equation that can be expressed in the form $ax + by + c = 0$, where $a, b,$ and $c$ are real values and $a$ and $b$ are not equal to zero. Coordinates are a pair of integers, or sporadically a letter and a number, that identify a certain place on a grid, also referred to as a coordinate plane.

Given:

A linear equation $:2x+3y =6$

To find:

We have to find the coordinate where the given equation cuts the $x$- axis.

Solution:

Since, the graph of linear equation $2x + 3y = 6$ meets the $x$-axis.

So, we put $y = 0$ in $2x + 3y = 6$

$2x + 3(0) = 6$

$2x + 0 = 6$

$x = \frac{6}{2}$

$x = 3$

Hence, the coordinate on $x$-axis is $(3, 0)$.

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