Question

will a line pass through 2,2 if it intersects the axes at 2,0 and 0,2​

Answer 1

Answer:

Yes

Reason:-

Because from any two points one line can pass.

The line passing through 2,2 and intersection with 2,0 or 0,2 exists

Answer 2

Answer:

No

Step-by-step explanation:

We are given that a line that intersect the x- axis at x=2 and y- axis at y=2

We have to find that line will passing through the point (2,2) or not.

Slope of line =$\frac{y_2-y_1}{x_2-x_1}$

Slope of line =$\frac{2-0}{0-2}=-1$

The equation of line that passing through the point (2,0) with slope -1 is given by

$y-y_1=m(x-x_1)$

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

$y=-x+2$

Substitute x=2 then, we get

$y=-2+2=0$

Hence, the line will not passes through the point (2,2).