Find the equation of the line containing the given pair of points. (3,5) and (9,7)

3y = x + 12

Step-by-step explanation:

First find the slope of

(x1,y1) and (x2,y2)

Slope m= ( y2 - y1) ÷ (x2 - x1)

= (7-5) ÷ (9-3)

= 2 ÷ 6

= 1/3

The equation of the line containing the pair (x,y) is

y = mx + b

5 = (1÷3) × 3 + b

= 1 + b

Therefore b = 5-1 = 4

Hence the equation of the line containing the given pair if points (3,5) and (9,7) is

Y=(1÷3) × x + 4

Y = (x÷3) +4

Y =( x + 12) ÷ 3

3y = x + 12

b

step-by-step explanation:

it is contrapositive

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