# How do you write an equation in point slope form given (3/2, -1/3), (-2/3, 4)?

##### 1 Answer

Jun 12, 2017

#### Explanation:

We are given the points

Point-slope form looks like this:

#y - color(red)(y_0) = ((color(orange)(y_1) - color(red)(y_0))/(color(blue)(x_1) - color(limegreen)(x_0)))(x-color(limegreen)(x_0))#

So to write the equation of this line in point-slope form, we need to plug in the points given as follows:

#y - (color(red)(-1/3)) = ((color(orange)4-(color(red)(-1/3)))/(color(blue)(-2/3)-color(limegreen)(3/2)))(x-color(limegreen)(3/2))#

And simplify like this:

#y + 1/3 = ((4+1/3)/(-4/6-9/6))(x-3/2)#

#y + 1/3 = ((13/3)/(-13/6))(x-3/2)#

#y + 1/3 = ((6*cancel13)/(-3*cancel13))(x-3/2)#

#y+1/3 = -2(x-3/2)#

*Final Answer*