112k views
1 vote
A line passes through the points(4,10) and (9,20) Write a linear function in terms of X and Y for this line

User Bogdan B
by
7.7k points

1 Answer

4 votes

Answer:

y = 2x + 2

Explanation:

given : line passes through the points (4,10) and (9,20)

Required : write a linear function in terms of x and y

solution :

substitute the coordinate points into the equation: y = mx + b

(x=9, y=20) _ 20 = 9m + b

(x=4, y=10) 10 = 4m + b

subtracting 10 = 5m

m = 10/5

m = 2

substitute x=2 back into eq.1 to solve for b

20 = 9m + b

20 = 9(2) + b

20 - 18 = b

b = 2

therefore the straight line equation is:

y = mx + b

y = 2x + 2

User Rafik Farhad
by
8.0k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories