Question

Can someone please help me find out the slopes? Thank you so much, much appreciated! (:

Answer 1

Part 1) The slope is equal to
`m=0`

Part 3) The slope is
`m=-(3)/(4)`

Part 4) The slope is
`m=(5)/(7)`

Part 6) The slope is undefined

Part 8) The slope is
`m=-(3)/(2)`

Explanation:

we know that

The formula to calculate the slope between two points is equal to

`m=(y2-y1)/(x2-x1)`

so

Part 1) Find the slope of the line that passes through the point (5,-5) and (9,-5)

Substitute in the formula

`m=(-5+5)/(9-5)`

`m=(0)/(4)=0`

Part 3) Find the slope of the line that passes through the point (-2,9.5) and (4,5)

Substitute in the formula

`m=(5-9.5)/(4+2)`

`m=(-4.5)/(6)=-(3)/(4)`

Part 4) Find the slope of the line

Observing the graph the line passes through the point (-3,-4) and (4,1)

Substitute in the formula

`m=(1+4)/(4+3)`

`m=(5)/(7)`

Part 6) Find the slope of the line that passes through the point (-7,0) and (-7,-4)

Substitute in the formula

`m=(-4-0)/(-7+7)`

`m=(-4)/(0)` ------> undefined

Part 8) Find the slope of the line that passes through the point (8,4) and (6,7)

Substitute in the formula

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

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