Question

Slope -6/7; through (3,5) Write the equation using function notation. Please help me ASAP!!!!!!!! :(

Answer 1

f(x) = -
`(6)/(7)` x +
`(53)/(7)`

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y-intercept )

here m = -
`(6)/(7)`

partial equation is y = -
`(6)/(7)` x + c

to find c substitute (3, 5 ) into the partial equation

5 = -
`(18)/(7)` + c ⇒ c =
`(53)/(7)`

f(x) = -
`(6)/(7)` x +
`(53)/(7)`