Question

A line passing through the points (7,2),(-3,2)
then the image of the line in x-axis is​

Answer 1

Answer:

Equation of the image : y = -2

Step-by-step explanation:

In the given question,

The points are given as (7, 2) and (-3, 2).

Now, we know that the equation of the line passing through the points (x₁, y₁) and (x₂, y₂) is given by,

$\frac{y-y_{1}}{x-x_{1}} =\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

Now here the equation of the line will be,

$\frac{y-2}{x-7} =\frac{2-2}{-3-7}=0\\y-2=0\\y=2$

Therefore, the equation of the line is, y = 2.

Now, taking the reflection of the line about the x-axis we get the equation as,

y = -2.

Therefore, the image of the line in the x-axis will be y = -2.

Answer 2

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