Question

the image of the line x+y-2=0 in the y axis is​

Answer 1

Answer:

the image of the line x+y-2=0 in the y exis is 1

Answer 2

The image of the line $x+y-2=0$ in the y axis is​ $x-y+2=0$.

Step-by-step explanation:

Given:

The line equation is  $x+y-2=0$.

To Find:

The image of the line $x+y-2=0$ in the y axis.

Formula Used:

Let (x1, y1) and (x2, y2)  are the two points.

The following  equation  is for  line passing through these two points.

$(y-y1)=\frac{y2-y2}{x2-x1} (x-x1)$   ------------------ formula no.01.

Solution:

As given- The line equation is  $x+y-2=0$.

As per attached diagram.

The equation of line QP is  $x+y-2=0$.

Line Q'P is image of line QP.

The equation of line Q'P wil be line passing through points (-2,0) and (0,2).

Applying formula no. 01.

$(y-0)=\frac{2-0}{0-(-2)} (x-(-2))$

$(y-0)=\frac{2-0}{0+2} (x+2)$

$(y-0)=\frac{2}{2} (x+2)$

$(y-0)=1(x+2)$

$y=x+2$

$x-y+2=0$

Thus, the image of the line $x+y-2=0$ in the y axis is​ $x-y+2=0$.

PROJECT CODE#SPJ3

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