Hint :- The slope intercept form of the line is [tex] y = mx + c [/tex] , where m is the slope of the line and c is y intercept .
Solution:-
Given equation to us ,
[tex]\implies x = \dfrac{-3}{4}y -5 [/tex]
Multiply both sides by 4 ,
[tex]\implies 4x = -3y -20 [/tex]
Add 20 to both sides ,
[tex]\implies 4x +20 = -3y [/tex]
Divide both the sides by -3 ,
[tex]\implies \dfrac{-4}{3}x-\dfrac{20}{3}= y [/tex]
Flip the equation ,
[tex]\implies y = \dfrac{-4}{3}x-\dfrac{20}{3} [/tex]
