Question

What is slope of the line that passes through the point ( -6,8) and (-16,33)? Write the answer in the simplest form.

Answer 1

`- (5)/(2)`

Explanation:

`\boxed{gradient = (y1 - y2)/(x1 - x2) }`

Using the above formula,

slope of line

`= (33 - 8)/( - 16 - ( - 6)) \\ = (25)/( - 16 + 6) \\ = (25)/( - 10) \\ = - (5)/(2)`

*Since the slope a line is the coefficient of x in the slope-intercept form, it is usually left as an improper fraction if it is not a whole number.