Question

Which of the following is an equation of the line that crosses through (-3,4) and (3,6) ?

A. X+ 3y = -15
B. x - 3y = -15
C. 1 / 3 x - y = 5
D. 3x + y = 5
E. -3x+y=5

Answer 1

Explanation:

first. find the gradient

which is change in Y over Change in X

6 - 4 / 3--3 = 2/6 = 1/3

take any two point say for example (3,6) and equate it to the gradient

Y - 6/X- 3= 1/3 then cross multiply

3Y - 18 = X -3 then collect like term

3Y= X - 3 + 18

3y = X +15

3Y - X = 15 or X - 3Y= 15

Answer 2

The answer is B

Step-by-step explanation

If you plug in -3 for X and add 3 that is multiplied by 4 you get 9

If you plug in -3 for X and subtract 3 that is multiplied by four you get -15

therefore c and d are wrong:)