write the equation of the line that passes through (1, 5) and (−2, 14) in the slope-intercept form.

a- y = 3x + 2
b- y = 3x + 8
c-y = −3x − 2
d- y = −3x + 8

d

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (1, 5) and (x₂, y₂ ) = (- 2, 14)

m = = = - 3, thus

y = - 3x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (1, 5), then

5 = - 3 + c ⇒ c = 5 + 3 = 8

y = - 3x + 8 → d

answer: given that the roller coaster can accommodate 1600 riders per hour, thus the roller coaster can accomodate 1600 / 60 = 26.67 riders per minute.

given that there are 345 people in the line, the number of minutes it will take for the 345 persons to get into the roller coaster is given by 345 / 26.67 = 12.94 minutes.

therefore, it will take you 12.94 minutes to get to the front of the line.

step-by-step explanation: