Respuesta :

Answer: y = -5x/3  - 7/4

Step-by-step explanation:

The equation of a line in slope and point form is given as

y - [tex]y_{1}[/tex] = m(x - [tex]x_{1}[/tex])

where m is the slope

[tex]x_{1}[/tex] = 2

[tex]y_{1}[/tex] = -3

m = -5/8

Substituting into the formula , we have

y - ( -3 ) = -5/8 ( x - 2 )

y + 3 = -5x/8 + 5/4

This could also be written in slope - intercept form , that means we will make y the subject of the formula

y = -5x/8 + 5/4 - 3

y = -5x/3  - 7/4