Respuesta :

Answer:

The equation in the slope-intercept form is:

  • y = -3/5x - 1

Step-by-step explanation:

Given the equation

[tex]-2(3x+5y)=10[/tex]

We know that the slope-intercept form of a line equation is

[tex]y = mx+b[/tex]

where

  • m is the slope
  • b is the y-intercept

Writing the equation in slope-intercept form

-2(3x+5y)=10

-6x -10y = 10

Add 6x to both sides

-6x -10y + 6x = 10 +  6x

-10y = 10 + 6x

Divide both sides by -10

-10y / -10 = (10 + 6x) / -10

y = -3/5x - 1

Thus, the equation in the slope-intercept form is:

  • y = -3/5x - 1
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