Question

Mixed Review for Finding Slope

Calculate the slope of the line that contains the following points. Leave answers as fractions - BUT reduce
your fractions as much as possible!!!!!!! SHOW ALL WORK!!!
1) (4,5) and (-4,3)
2) (-2,-4) and (6,7)
3) (2, -4) and (10,12) 4) (1/2,2) and (1,2/3) 5) (1/4,5) and (5/4,12)

Answer 1

1) slope of the line
`m = (1)/(4)`

2) slope of the line
`m = (11)/(8)`

3) slope of the line m =2

4) slope of the line
`m = (-8)/(3)`

5) slope of the line m =7

Explanation:

1)

Given points are (4,5) and (-4,3)

slope of the line Formula

`m = (y_(2) - y_(1) )/(x_(2)-x_(1) )`

`m = (3 - 5 )/(-4-4 ) = (-2)/(-8) = (1)/(4)`

`m = (1)/(4)`

2)

Given points are (-2,-4) and (6,7)

slope of the line Formula

`m = (y_(2) - y_(1) )/(x_(2)-x_(1) )`

`m = (7 - (-4) )/(6-(-2) ) = (11)/(8)`

`m = (11)/(8)`

3)

Given points are (2, -4) and (10,12)

slope of the line Formula

`m = (y_(2) - y_(1) )/(x_(2)-x_(1) )`

`m = (12 - (-4) )/(10-(2) ) = (16)/(8) =2`

`m = 2`

4) Given points are

(1/2,2) and (1, 2/3)

slope of the line Formula

`m = (y_(2) - y_(1) )/(x_(2)-x_(1) )`

`m = ((2)/(3) - (2) )/(1-((1)/(2) ) ) = ((-4)/(3) )/((1)/(2) )`

`m = (-8)/(3)`

5)

Given points are

(1/4,5) and (5/4 , 12)

slope of the line Formula

`m = (y_(2) - y_(1) )/(x_(2)-x_(1) )`

`m = (12-5)/((5)/(4) -(1)/(4) ) = (7)/((4)/(4) ) = 7`

`m = 7`