A and b are straight lines. Line A has equation 2y = 3x+8.Line B goes through the points (-1,2) and (2,8).

Do lines A and B intersect?
You must show all your working.

Answers

Answer 1
Answer:

The lines 2y = 3x + 8 and y = 2x + 4 will intersect at (0, 4).

What is the solution to the equation?

The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.

A and B are straight lines.

Line A has equation 2y = 3x + 8   ....1

Line B goes through the points (-1,2) and (2,8). Then the equation of the line will be

y - 2 = [(8 - 2) / (2 + 1)] (x + 1)

y - 2 = 2(x + 1)

y = 2x + 2 + 2

y = 2x + 4       ...2

From equations 1 and 2, then we have

2(2x + 4) = 3x + 8

4x + 8 = 3x + 8

x = 0

Then the value of y will be

y = 2 (0) + 4

y = 4

The lines 2y = 3x + 8 and y = 2x + 4 will intersect at (0, 4).

More about the solution of the equation link is given below.

brainly.com/question/545403

#SPJ2

Answer 2
Answer: Line A: divide by 2: y=(3/2)x+4 so the slope would be 3/2

Line B: slope= (8-2)/(2- -1)=6/3=2
Since they dont both have the same slope they will still interesect

Related Questions

A turtle is 20 5/6 inches below the surface of a pond. It dives to a depth of 32 1/4 inches. What is the change in the turtle’s position?
Can someone please helpA cone-shaped container is filled with liquid. The container has a radius of 60 cm and an height of 210 cm. The liquid is drained from the container at a rate of 1099 cm3 per hour. How many hours will it take to drain all of the liquid? Use 3.14 to approximate pi.
A relay race covers 1 1/2 miles, and each runner on a team will run 1/4 of a mile. How many runners are needed for a team?
Calculați: a) 25% din 100 m b) 30% din 12,05 km c)40% din 60 m2(metru patrat) d) 32% din 3 1 supra 3 kg e) 0,1 % din 10 l
What is 1/6 divided by 3

Predict the cost of 5 pounds of banana if 2 punds cost $1.16

Answers

2.9 because 1.16 plus 1.16 is 2.32. If each is a pound split it in half and add 2.32 it and y'all get 2.9

What is the u known decimal equivalent for 5/100.

Answers

I think that answer would be .05
0.05
So 5÷100=0.05

0.05÷5=100

Solve the system of equations below by graphing both equations. what is the solution. y=x+5
y=-2x-1

Answers

(-2,3) is where they intersect


Hope that helped

A tutor schedules either 30-minute sessions or 60-minute sessions with her students.Last week, the tutor gave 8 sessions which lasted for a total of 7 hours. How many 60-minute sessions did the tutor give last week?ANSWER THIS QUICKLY PLEASE! THANKS!

Answers

6 one hour sessions and 2 half hour sessions for a total of 8 sessions. Answer: 6
The tutor gave 7 sessions that lasted 60 minutes last week.

7x60=420

420minutes in total, divided by 60min session = 7 sessions that lasted 60 minutes

I hope this helped, and you understand

Look at the Picture, The Question is There

Answers

Answer:

answer below

Step-by-step explanation:

in 24 hours, the number of gallons in the tank decreased by 96 gallons. This can be represented by the integer 54 so the change in the number of gallons in the tank is 4 gallons per hour.

hope this helped

Please help I do not understand

Answers

The answer is D LOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOL
The answer is D i think,