The slope of the line that passes through the points (5, -6) and (-2, 8) is?

The slope m of a straight line passing through points (x₁,y₁) and (x₂,y₂) can be calculated like this:

                                           m = change in y-value /  change in x-value

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

∵ the points (5, -6) and (-2, 8) are given, substituting :

                                          ⇒ m = ( 8 - (-6)) / (-2 - (5))  

                                           ⇒ m = 14 / (-7)  = -2

∴ m = -2 is slope

the answer is 24

step-by-step explanation:

let y equal to

the total fare and x is the mile of taxi ride. so the equation is

y = 0.55x + 1.75

since susie has

$10 to spend for a taxi cab, so he can have

10 = 0.55x +

1.75

x = 15 miles of

taxi ride

so the system of

inequality is

10 < 0.55x +

1.75

x > 2