Question

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

Answer 1

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

• The Slope 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`