Question

write the equation of the line that passes through (7,6) and (-1,2) in slope intercept form. please please help!​

Answer 1

Answer: y =
`(x)/(2)` + 2.5

Explanation:

The formula for finding the equation is given as :

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

From the points given:

`x_(1)` = 7

`x_(2)` =-1

`y_(1)` = 6

`y_(2)` = 2

Substituting into the formula , we have:

`(y-6)/(x-7)` =
`(2-6)/(-1-7)`

`(y-6)/(x-7)` =
`(-4)/(-8)`

`(y-6)/(x-7)` =
`(1)/(2)`

2(y-6) = x -7

2y - 12 = x -7

2y = x - 7 + 12

2y = x + 5

y =
`(x)/(2)` +
`(5)/(2)`

y =
`(x)/(2)` + 2.5