Question

Line passes through (1,-9) and has a slope of -3

Answer 1

`y = - 3x - 6`

Explanation:

The standard form for the equation of a line is

`y = mx + c`

(Note that m is the slope)

We were told that:

`y = - 9 \: \: \: x = 1 \: \: \: m = - 3`

Therefore, the equation of the line is

`y = mx + c \\ - 9 = ( - 3)1 + c \\ - 9 = - 3 + c \\ - 9 + 3 = c \\ - 6 = c`

Answer:

`y = - 3x -6`