Find the slope of the line y=1/4x + 2/5

Question

write As a proper fraction, improper fraction or integer

Answer 1

slope = the coefficient of the x term, when the equation is solved for y

slope = 1/4 = the derivative of y

Unless you actually meant to write y=1/(4x) + 4/5

which is what you did wrote given PEMDAS, the order of operations with M before D,

multiplication before division 4x before 1/4x

then slope varies with the value of x

the slope = derivative of y = y' = -1/4x^2

and it has no defined slope at x=0, slope <0 everywhere else

but you probably meant to write y=(1/4)x + 4/5, then the slope = 1/4

when you write "line" instead of "curve" that suggests you meant a straight line

for y=1/(4x) + 4/5, the line is not straight, but curved, a rectangular hyperbola

with 2 separate branches. Each branch has a negative slope