Question

The slope of the line below is -4. Use the coordinates of the labeled point to

find a point-slope equation of the line.
10H
10
10
10
O A. y + 9 = -4(x-4)
O B. y - 9 = -4(x + 4)
O C. y+ 9 = 4(x-4)
O D. y - 9 = 4(x + 4)

Answer 1

Explanation:

Answer 2

`y-b= m (x-a)`

For this case we know that m =-4 represent the slope. And with the point given (4,-9) we can find the values of a and b and we got:

`a=4, b=-9`

And replacing we got:

`y-(-9) =-4(x-4)`

`y+9 =-4(x-4)`

And the best solution would be:

A. y + 9 = -4(x-4)

Explanation:

For this case we need to remember that the general expression for the slope line is given by:

`y-b= m (x-a)`

For this case we know that m =-4 represent the slope. And with the point given (4,-9) we can find the values of a and b and we got:

`a=4, b=-9`

And replacing we got:

`y-(-9) =-4(x-4)`

`y+9 =-4(x-4)`

And the best solution would be:

A. y + 9 = -4(x-4)