# How do you write the point slope form of the equation given (5,-2) and (3,5)?

Jul 2, 2017

y +2 = -7/2(x –5)
OR
y –5 = -7/2(x – 3)

#### Explanation:

Point-slope form is y – y_1 = m(x – x_1) where $m$ is the slope and the letters with the subscript are the coordinates of a point. First, find the slope of the line:

$m = \frac{{y}_{2} - {y}_{1}}{{x}_{2} - {x}_{1}}$

$m = \frac{5 - \left(- 2\right)}{3 - 5}$

$m = - \frac{7}{2}$

Your equation is now y – y_1 = -7/2(x – x_1)

Now pick a point, either of them will work; and substitiute the coordinates into their respective x and y values.

y +2 = -7/2(x –5)
OR
y –5 = -7/2(x – 3)