Question

7. Cassidy's family is driving home

Answer 1

Answer:

The equation in a point-slope form that  represents their distance from

home, y miles, after x hours, is y - 110 = 55(x - 2)

Step-by-step explanation:

The point-slope form of the linear equation is

$y-y_{1}=m(x-x_{1})$ , where

m is the slope of the line (average)

$(x_{1},y_{1})$ is a point on the line

→ The family is driving home  from vacation at an average speed

    of 55 miles per hour

∴ m = 55

→ After 2 hours they  are 110 miles from home

∵ x is the number of hours

∵ y is the distance in miles after x hours

∴ $x_{1}$ = 2

∴ $y_{1}$ = 110

→ Substitute these values in the form of the equation above

∴ y - 110 = 55(x - 2)

The equation in a point-slope form that  represents their distance from

home, y miles, after x hours is y - 110 = 55(x - 2)