Question

Given the slope of the line and one point the passage through (2,-1) m=5/4

Answer 1

if you need the equation: y + 1 =
`(5)/(4)` (x-2) or y + 1 =
`(5)/(4)` x
`-(5)/(2)`

the answer: y =
`(5)/(4)` x
`-(7)/(2)`

Explanation:

Kind of explanatory you have a slope and a point, your formula is going to be y-y₁ = m(x-x₁)

Answer 2

slope intercept form:

y =
`(5)/(4)` x -
`(7)/(2)`

Explanation:

m = 5/4

x = 2 from the point (2,-1)

y = -1 from the point (2,-1)

y = mx + b

-1 =
`(5)/(4)` (
`(2)/(1)`) + b

-1 =
`(10)/(4)` + b

-1 =
`(5)/(2)` + b Subtract
`(5)/(2)` from both sides

`(-2)/(2)` -+
`(-5)/(2)` = b

`(-7)/(2)` = b

y = mx + b

y =
`(5)/(4)` x -
`(7)/(2)`