Question

Write an equation in point-slope form of the line that passes through the point (9,0) and has a slope of m=-3 .

y- text = (x- text)

Answer 1

`y = - 3x + 27`

Explanation:

The standard form for the equation of the line is

`y = mx + c`

Recall that:

`y = 0 \: \: \: x = 9 \: \: \: m = - 3 \\ y = mx + c \\ 0 = - 3(9) + c \\ 0 = - 27+ c \\ 27 = c`

Therefore the equation of the line is:

`y = mx + c \\ y = - 3x + 27`