Question

Pass through (2,-4)and has a slope m=-3/4​

Answer 1

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

Explanation:

The equation of a line in slope- intercept form is

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

Here m = -
`(3)/(4)` , then

y = -
`(3)/(4)` x + c ← is the partial equation

To find c substitute (2, - 4 ) into the partial equation

- 4 = -
`(3)/(2)` + c ⇒ c = -
`(8)/(2)` +
`(3)/(2)` = -
`(5)/(2)`

y = -
`(3)/(4)` x -
`(5)/(2)` ← equation of line