Answer:
The required equation is [tex]y=-\frac{1}{2}x[/tex]
Step-by-step explanation:
To find : What is the equation of the following line (0,0) (4,-2)?
Solution :
The two point slope form is [tex](y-y_1)=(\frac{y_2-y_1}{x_2-x_1})(x-x_1)[/tex]
Where, The points are [tex](x_1,y_1)=(0,0)[/tex] and [tex](x_2,y_2)=(4,-2)[/tex]
Substitute in the equation,
[tex](y-0)=(\frac{-2-0}{4-0})(x-0)[/tex]
[tex]y=(\frac{-2}{4})x[/tex]
[tex]y=-\frac{1}{2}x[/tex]
Therefore, The required equation is [tex]y=-\frac{1}{2}x[/tex]