Question

ONLY GODS CAN SOLVE STRAIGHT AWAY: Using the given equation find the missing coordinates of the points and then find the slope of the line.

4x−3y=24; A(...; 12), B(6; ...)



Erik took a trip to see his friend Mike who lives 308 miles away. He left his place at 10 AM driving at 70 mph. In 2 hours, his friend Mike left his place driving towards Erik at an average speed of 50 mph. At what time will they meet?

Answer 1

Step-by-step explanation:

The answer will be A(15, 12), B(6, 0)

Slope = 4/3

Because....

Substitute for y:

4x-36=24

Solve:

x=15

Substitute for x:

24-3y=24

Solve:

y=0

Then you have the x and y values and you can find the slope.

(12-0)/(15-6)=

12/9=4/3, or repeating decimal 1.333333...

Answer 2

By the time Mike left his house at 12:00 noon, Erik had already traveled: 2 x 70 mph =140 miles.

308 - 140 = 168 miles left.

Let the time when they meet =T

70T + 50T =168 miles, solve for T

T =7 / 5 =1.4 hours, or 1 hour and 24 minutes after 12:00 noon.

12 + 1.4 =1 O'clock + 24 minutes, or 24 minutes after 1:00 pm when they will meet.