Question

Write the equation of the line that passes through (1,5) (-2,4)

Answer 1

Answer: 3y - x = 14

Explanation:

Since two points are given , we will use the formula for finding equation of line in two point form, which is given as:

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

`x_(1)` = 1

`x_(2)` = -2

`y_(1)` = 5

`y_(2)` = 4

Substituting into the formula, we have :

`(y - 5)/(x - 1)` =
`(4 - 5)/(-2 -1 )`

`(y - 5)/(x - 1)` =
`(-1)/(-3)`

`(y - 5)/(x - 1)` =
`(1)/(3)`

cross multiplying , we have

3( y - 5 ) = x - 1

3y - 15 = x - 1

Add 15 to both sides

3y = x - 1 + 15

3y = x + 14

Writing the equation of the line in standard form , we have

3y - x = 14