Respuesta :

Answer:

The answer is

[tex]y = - \frac{3}{5} x + 1[/tex]

Step-by-step explanation:

To find the equation of a line given the slope and a point we use the formula

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

where

m is the slope

( x1 , y1) is the point

From the question

slope = -3/5

the point is (- 5 , 4)

Substitute the values into the above formula and solve

[tex]y - 4 = - \frac{3}{5} (x + 5) \\ y - 4 = - \frac{3}{5} x - 3 \\ y = - \frac{3}{5} x - 3 + 4[/tex]

We have the final answer as

[tex]y = - \frac{3}{5} x + 1[/tex]

Hope this helps you