Question 93696
Question:

what is the y intercept of 5x-4y=20

Answer:


The standard slope-intercept form of an equation is given by the formula,

y = mx + b, where m is the slope and b is the y-intercept.


here you have the equation, 5x - 4y = 20


First of all rewrite the given equation in to standard form


5x - 4y = 20


subtract 5x from both sides...


==> 5x - 4y - 5x  = 20 - 5x



==> -4y = 20 - 5x



Divide both sides by -4


==> {{{ -4y/-4= 20/-4 - 5x/-4 }}}



==> {{{ y = -5 + (5/4) * x }}}

Which again can be written as,



{{{ y =    (5/4)*x -5 }}}, which is of standard form



Comparing this equation with the standards one, when have,


m = {{{ 5/4}}} and  b = -5



So y-intercept = {{{-5}}} and slope = {{{5/4}}}


Hope you found the explanation useful.



Regards.


Praseena.