Question

Which equation represents the line that passes through the points (-3,7) and (3,3)

Answer 1

The equation of the line is 2 x +3 y = 15.

Explanation:

Here the given points are ( -3, 7) & ( 3, 3) -

Equation of a line whose points are given such that

`x_(1), y_(1)` ) & (
`x_(2), y_(2)` )-

y -
`y_(1)` =
`( y_(2) - y_(1) )/( x_(2) - x_(1) )` ( x -
`x_(1)` )

i.e. y - 7=
`(3 - 7)/(3 - (-3))` ( x- (-3))

y - 7 =
`(-4)/(3 + 3)` ( x + 3 )

y - 7=
`- (2)/(3)` ( x + 3 )

3 ( y - 7) = - 2 ( x + 3)

3 y -21 = -2 x - 6

2 x + 3 y = 21 - 6

2 x + 3 y = 15

Hence the equation of the required line whose passes trough the points ( - 3, 7) & ( 3, 3) is 2 x + 3 y = 15.