Question

Find the equation of the line passing through (4, 3) and (-2, -7): A. 3x + 5y = 27 B. 3x - 5y = -3 C. 5x - 3y = 11 D. 2x - y = 5

Answer 1

(c) 5x - 3y = 11

Explanation:

using slope intercept form

we know equation of line is

y= mx+c........(1)

where m is slope which can be written as
`(y_2-y_1)/(x_2-x_1)`

`m=(-7-3)/(-2-4) =(-10)/(-6) =(5)/(3)`

substituting value in equation (1)

`y=(5)/(3) x+c`

now inserting value of point (4,3)

`3=(5)/(3)* 4+c`

`c=(-11)/(3)`

`y=(5)/(3) * x-(11)/(3)\\`

on solving we get

`5x - 3y = 11`