Question

Find the slope of the given points (2,5) and (8,-3) and write the equation​

Answer 1

Answer:

Slope = $\frac{-4}{3}$

4x + 3y = 23

Step-by-step explanation:

slope = $\frac{y_{2}-y_{1}}{x_{2}-x_{1}}=\frac{-3-5}{8-2} =\frac{-8}{6} =\frac{-4}{3}$

The equation:

$\frac{y-y_{1} }{x-x_{1} }=m$   m is the slope

$y-y_{1}=m(x-x_{1} )$

y - 5 = -4/3 (x - 2) Multiply both sides by 3

3y -15 = -4 (x - 2)  

3y - 15 = -4x + 8

3y + 4x = 8 + 15

3y + 4x = 23

4x + 3y = 23