Question

What is the equation of the line that passes through (1,5) and (-2,14) in slope intercept form

Answer 1

Answer: y = -3x + 8

Explanation:

The formula for finding equation of line when two points are given is :

`(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)` = 14

Substituting the values , we have

`(y-5)/(x-1)` =
`(14-5)/(-2-1)`

`(y-5)/(x-1)` =
`(9)/(-3)`

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

y-5 = -3(x-1)

y -5 = -3x + 3

writing the equation in slope - intercept form , we will make y the subject of the formula:

y = -3x + 3 + 5

y = -3x + 8