Equation of [tex]AD[/tex] as per given coordinates from graph [tex]A(-5,1)[/tex] and [tex]D(0,6)[/tex] is equal to [tex]-x+y=6[/tex].
What is equation?
" Equation is defined as the relation between the variables and numbers using the sign of equality."
Formula used
Standard equation of line
Coordinates [tex]A(x_{1} ,y_{1})[/tex] and [tex]D(x_{2}, y_{2})[/tex]
[tex]y = mx +c[/tex]
Slope [tex]'m' = \frac{y_{2} -y_{1}}{x_{2} -x_{1}}}[/tex]
Y- intercept [tex]=c[/tex]
According to the question,
Form the graph ,
Coordinates of [tex]A(-5,1)[/tex] and [tex]D(0,6)[/tex]
Substitute the value in the formula to get equation of line AD,
Y-intercept [tex]'c' = 6[/tex]
Slope [tex]'m' = \frac{6-1}{0-(-5)}[/tex]
[tex]= \frac{5}{5} \\\\= 1[/tex]
Therefore, Equation of line AD
[tex]y = 1(x) + 6\\\\\implies y = x+6\\\\\implies -x+y =6[/tex]
Hence, Option(C) is the correct answer.
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