Question

Write the point-slope form of the equation of the line through the given point and slope.

through: (1, -2), slope = -6
y - 2 = -6 (x + 1)
y - 2 = 6 (X + 1)
y + 2 = -6 (x - 1)
y + 2 = 6 (x - 1)

Answer 1

`y +2 =-6(x - 1)`

Explanation:

Given

`(x_1,y_1) = (1,-2)`

`m=-6`

Required

Determine the point slope equation

This can be determined using the following formula:

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

Where:

`(x_1,y_1) = (1,-2)`

`m=-6`

So, we have:

`y - (-2) =-6(x - 1)`

This gives:

`y +2 =-6(x - 1)`

Hence, the point slope form is
`y +2 =-6(x - 1)`