Solution:-
The equation of any straight line can be written as in slope intercept form as -
[tex]\green{ \underline { \boxed{ \sf{y=mx+c}}}}[/tex]
where,
- m is its slope
- c is its y-intercept.
Given equation:-
[tex]\begin{gathered}\\\implies\quad \sf 5x+y = 10 \\\end{gathered} [/tex]
Arranging it in slope intercept form by transposing 5x to RHS
[tex]\begin{gathered}\\\implies\quad \sf y = 10 -5x \\\end{gathered} [/tex]
[tex]\begin{gathered}\\\implies\quad \sf y = -5x +10\\\end{gathered} [/tex]
[tex]\leadsto[/tex]Comparing the equation y = -5x +10 with the standard form of the equation, we get -
[tex]\quad \bull\: \sf m= -5[/tex]
[tex]\quad \bull \: \sf c= 10[/tex]
Thus , 5 is our required answer.
