# How do you write the point slope form of the equation given (3,-8) and(7,-2)?

Aug 26, 2016

y+8=3/2×(x-3) or $3 x - 2 y = 25$

#### Explanation:

The slope of a line joining two points $\left({x}_{1} , {y}_{1}\right)$ and $\left({x}_{2} , {y}_{2}\right)$ is $\frac{{y}_{2} - {y}_{1}}{{x}_{2} - {x}_{1}}$ and hence the equation is

(y-y_1)=(y_2-y_1)/(x_2-x_1)×(x-x_1)

Hence equation of line joining $\left(3 , - 8\right)$ and $\left(7 , - 2\right)$ in point-slope form is

(y-(-8))=(-2-(-8))/(7-3)×(x-3) or

(y+8)=(-2+8)/4×(x-3) or

y+8=6/4×(x-3) or

y+8=3/2×(x-3) or

$2 y + 16 = 3 x - 9$ or

$3 x - 2 y = 25$