Question

I want to know the answer for this Can you help me

Answer 1

A line passes the points (-1, 9) and the slope = -6,

slope = -6

`m=-6`

Let a line a slope

m

and passes through the point (x_1,y_1),

then the point-slope form of the straight line is

`\begin{gathered} y-y_1=m(x-x_1) \\ at\text{ points \lparen1,-9\rparen} \end{gathered}`
`\begin{gathered} y_1=9 \\ x_1=-1 \\ y-9=-6(x--1) \\ y-9=-6(x+1) \\ y-9=-6x-6 \\ y=-6x-6+9 \\ y=-6x+3 \end{gathered}`

Therefore the equation of the line is

`y=-6x+3`