How do you find the slope of ##2x-5y=0##?

• We can find the of a Line by expressing its equation in the Slope Intercept form .

• The Intercept Form of the equation of a given line is: ##y = mx + c## where ##m## is the Slope of that line, and ##c## is the Y intercept

• To get it in the Slope Intercept form, we first transpose ##2x## to the Right hand Side We get ##-5y = -2x ##

To have just ##y## on the Left Hand Side, we divide both sides by ##-5##

##(cancel(-5)y)/cancel(-5) = (-2x)/-5 ##

##y = (2/5)*x + 0## is the Slope Intercept form of ##2x−5y=0##

• The Slope is ##color(green)(2/5## and the Y intercept is ##0##