Question

What is the equation in point -slope form. of the line passing through (0, 5) and (-2,11)

Answer 1

First, you need to find the slope of the line. You can use this with the slope formula,
`(y_(2) - y_(1))/(x_(2) - x_(1))`, where the x's and y's are the given coordinates.


`(y_(2) - y_(1))/(x_(2) - x_(1))` Plug in the coordinates

`(11 - 5)/(-2 - 0)` Subtract

`(6)/(-2)` Divide
-3

Now, plug the slope (m) and one pair of coordinates, I'll use (-2, 11), into point-slope form,
`y - y_(1) = m (x - x_(1))`.


`y - y_(1) = m (x - x_(1))` Plug in the values
y - 11 = -3 (x - (-2) Cancel out the double negative
y - 11 = -3 (x + 2)