Question

What is the equation, in point-slope form, for a line that goes through(8, −4) and has a slope of −5/6?

Responses

Answer 1

y + 4 = -
`(5)/(6)` (x - 8)

Explanation:

the equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b ) a point on the line

here m = -
`(5)/(6)` and (a, b ) = (8, - 4 ), that is a = 8, b = - 4 , then

y - (- 4) = -
`(5)/(6)` (x - 8) , that is

y + 4 = -
`(5)/(6)` (x - 8)