Question

What is the slope of the line that passes through the points (7, -5) and (10, -7.5)?

A:

`(5)/(6)`


B:

`(6)/(5)`


C:

`- (5)/(6)`
D:

`- (6)/(5)`
​

Answer 1

C.
`-(5)/(6)`

Explanation:

• just use the equation
  `slope=(y_2-y_1)/(x_2-x_1)`
• So our first point (7,-5) will be
  `x_1=7,y_1=-5`
• and our second point (10, -7.5) will be
  `x_2=10,y_2=-7.5`
• Then substitute
• 
  `slope=((-7.5)-(-5))/((10)-(7))=(-2.5)/(3)=-(5)/(6)`