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 [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex], then the equation of the line is:
[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]
The line passes through the points (2,0) and (-2,2). So, the equation of the line is:
[tex]y-0=\dfrac{2-0}{-2-2}(x-2)[/tex]
[tex]y=\dfrac{2}{-4}(x-2)[/tex]
[tex]y=-\dfrac{1}{2}(x-2)[/tex]
[tex]y=-\dfrac{1}{2}(x)-\dfrac{1}{2}(-2)[/tex]
[tex]y=-\dfrac{1}{2}x+1[/tex]
Therefore, the required equation is [tex]y=-\dfrac{1}{2}x+1[/tex].
Note: In the options, the variables are missing.
