Question

For a line that goes through points (2,-2) and (1.-6), what is the equation

of the line in point-slope form?​

Answer 1

`y + 6 = 4[x - 1]\:or\:y + 2 = 4[x - 2]`

Step-by-step Step-by-step explanation:

First find the rate of change [slope]:

`(-y_1 + y_2)/(-x_1 + x_2) = m`

`(2 - 6)/(-2 + 1) = (-4)/(-1) = 4`

Then plug each of these coordinates into the Point-Slope Formula,
`y - y_1 = m[x - x_1].` Now remember, in this formula, all the negative symbols give the OPPOSITE terms of what they really are, so be EXTREMELY CAREFUL inserting the coordinates into the formula with their CORRECT SIGNS:

`y + 6 = 4[x - 1]\:or\:y + 2 = 4[x - 2]`

I am joyous to assist you anytime.