Question

Eva draws a line that includes the points (2,0) and (-2,2) which function gives all the points (٫) on this line

Possible answers

= -1/2 + 1

= -2 +1

= 1/2 -1

= 2 -1

Answer 1

Given:

A line passes through the points (2,0) and (-2,2).

To find:

The equation of the line.

Solution:

If a line passes through the two points
`(x_1,y_1)` and
`(x_2,y_2)`, then the equation of the line is:

`y-y_1=(y_2-y_1)/(x_2-x_1)(x-x_1)`

The line passes through the points (2,0) and (-2,2). So, the equation of the line is:

`y-0=(2-0)/(-2-2)(x-2)`

`y=(2)/(-4)(x-2)`

`y=-(1)/(2)(x-2)`

`y=-(1)/(2)(x)-(1)/(2)(-2)`

`y=-(1)/(2)x+1`

Therefore, the required equation is
`y=-(1)/(2)x+1`.

Note: In the options, the variables are missing.