Answer:
To write equation for the given graph.
Explanation:
The two points on the line are (0,6) and (3,0).
we know that,
The equation of the line passing through the points (x1,y1) and (x2,y2) is
[tex]\frac{y-y1}{y2-y1}=\frac{x-x1}{x2-x1}[/tex]
The equation of the line passing through the points (0,6) and (3,0) is,
[tex]\frac{y-6}{0-6}=\frac{x-0}{3-0}[/tex]
Solving this we get,
[tex]\frac{y-6}{-6}=\frac{x}{3}[/tex][tex]y-6=-\frac{6x}{3}[/tex]
we get,
[tex]y=-2x+6[/tex]
The required equation of the line is,
[tex]y=-2x+6[/tex]
Answer is:
[tex]y=-2x+6[/tex]
