# How do you write the equation in point slope form given (-1,10) and (5,8)?

##### 1 Answer

or

#### Explanation:

You already have the "point" part, now we just need to settle the "slope" part.

The slope of the straight line is a measure of how much the vertical component (

A *large* slope value corresponds to a *steep* one. A slope of

Slopes can also be *negative*; it just means that as *decreases*. A line with a slope of *decrease* of

Straight lines with positive slope run from the bottom-left of the graph to the top-right, while straight lines with negative slope run from the top-left of the graph to the bottom-right.

To calculate the slope,

#m = frac{"Change in " y}{"Change in " x}#

#= frac{8-10}{5-(-1)}#

#= frac{-2}{6}#

#= -frac{1}{3}#

Now to write in point slope form, you first choose a point,

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

So using the two points above as examples. The answer is

#y - 8 = -1/3 (x - 5)# or

#y - 10 = -1/3 (x + 1)#