Question

the slope of the line below is -1/7. Write the point slope equation of the line using the coordinates of the labeled point

Answer 1

C. The formula is y-y sub1= m (x-x sub1)

Answer 2

The correct option is C.

Explanation:

If a line passes through the point
`(x_1,y_1)` with slope m, then the point slope form of the line is

`y-y_1=m(x-x_1)`

It is given that the slope of the line is -1/7. From the graph it is clear that the line passes through the point (3,3).

Substitute x₁=3, y₁=3 and
`m=-(1)/(7)` in the above equation.

`y-3=-(1)/(7)(x-3)`

The point slope form of the given equation is
`y-3=-(1)/(7)(x-3)`.

Therefore the correct option is C.