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Answer :

Answer:

y = - [tex]\frac{1}{2}[/tex] x - [tex]\frac{7}{10}[/tex]

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

5x + 10y = - 7 ( subtract 5x from both sides )

10y = - 5x - 7 ( divide all terms by 10 )

y = - [tex]\frac{1}{2}[/tex] x - [tex]\frac{7}{10}[/tex]