Question

Write the equation of a line passing through the point (-3,-2) with slope 3/4

Answer 1

y =
`(3)/(4)` x +
`(1)/(4)`

Explanation:

the equation of a line in slope- intercept form is

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

given slope m =
`(3)/(4)` , then

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

to find c, substitute (- 3, - 2 ) for x and y in the partial equation

- 2 =
`(3)/(4)` (- 3) + c = -
`(9)/(4)` + c ( add
`(9)/(4)` to both sides )

-
`(8)/(4)` +
`(9)/(4)` = c , then

c =
`(1)/(4)`

y =
`(3)/(4)` x +
`(1)/(4)` ← equation of line