Question

What is the equation for the points (-3,1) and (9,7)

Answer 1

The equation of line with given points is 2Y - X - 5 = 0

Explanation:

Given points are ( - 3 , 1) and (9 , 7)

Equation of line is y = mx +c

where m is the slop of line

Now m =
`(y2 - y1)/(x2 - x1)`

Or, m =
`(7 - 1)/(9 + 3)`

so, slop =
`(6)/(12)`

∴ slop =
`(1)/(2)`

Now the equation of line with points ( -3 , 1) and slop m is :

Y - y1 = m ( X - x1)

Or, Y - 1 =
`(1)/(2)` (X + 3)

Or, 2Y - X - 5 = 0

Hence The equation of line with given points is 2Y - X - 5 = 0 Answer