Question 93697
Question:


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


Answer:

First of all rewrite the given equation into the standard slope intercept form of a line, that is y = mx + b, where m is the slope and b is the slope of the equation.


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 + (5x/4)}}}



Which can be written as, {{{y = (5/4)*x -5  }}}, which is of standard form



So, slope of the given equation is, {{{5/4}}} and y intercept is  {{{-5}}}



Hope you found the explanation useful.



Regards.



Praseena.