Question

18. A line has slope = -9 and goes through the point (-4,-2). What is the equation of this line in point-slope form? A. y + 2 = -9 (x – 4) B. y - 2= -9 [x - 4) C. y + 2 = -91x + 4) D. y - 2= -9(x + 4)

Answer 1

Given:

A line has a slope = -9

The line passing through the point (-4 , -2)

the general form of the equation of the line in point - slope form is :

`y-k=m\mathrm{}(x-h)`

Where: m is the slope, and ( h,k) is the point

So,

`\begin{gathered} m=-9 \\ h=-4 \\ k=-2 \end{gathered}`

So, the equation of the line will be:

`\begin{gathered} y-(-2)=-9\cdot(x-(-4)) \\ \\ y+2=-9(x+4) \end{gathered}`

The answer is option C. y + 2 = -9 ( x + 4 )