Question

What is the simplified slope of the line that passes through points A(6,0) B(0,-2)?

Answer 1

To find slope, use the equation:

`slope = ( y_(2) - y_(1) )/(x_(2)-x_(1))`
where
`x_(2)` and
`y_(2)` are the x and y values of one coordinate point, and
`x_(1)` and
`y_(1)` are the x and y values of another coordinate point . Since we are given two coordinate points, that means we can find the slope using the slope equation.

Let's choose (6, 0) as your
`(x_(2), y_(2))` point and (0, -2) as your
`(x_(1), y_(1))` point, but you can switch those if you want! That makes
`x_(2) = 6, y_(2) = 0` and
`x_(1) = 0, y_(1) = -2`. Plug these values into the slope equation and simplify:
`( y_(2) - y_(1) )/(x_(2)-x_(1)) \\ = ( 0 - (-2) )/(6-0) \\ = (2)/(6) \\ = (1)/(3)`
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Answer: Slope =
`(1)/(3)`