Question

Find the slope of the line through each pair of points.
1) (19,8),(-2, 11)

Answer 1

The slope of the line is
`-(1)/(7)`

Explanation:

The rule of the slope of a line which passes through points

(x1, y1) and (x2, y2) is

• 
  `m=(y2-y1)/(x2-x1)`

∵ The line passes through points (19, 8) and (-2, 11)

∴ x1 = 19 and x2 = -2

∴ y1 = 8 and y2 = 11

→ Use the rule above to find the slope of the line

∵
`m=(11-8)/(-2-19)=(3)/(-21)`

→ Simplify the fraction by divide up and down by 3

∴
`m=-(1)/(7)`

∴ The slope of the line is
`-(1)/(7)`