Respuesta :
Given equation:-
[tex] \sf \: x - 4y = 20[/tex]
Parallel equation:-
[tex] \tt \: y = \frac{1}{4} x - 5[/tex]
Answer:
[tex]y = - 4x + 3[/tex]
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Based on the position of two lines:
[tex]m = - 4[/tex]
Write the equation of linear function
Substitute:
[tex] - 5 = - 4 \times 2 + b[/tex]
Calculate the product or quotient:
[tex] - 5 = - 8 + b[/tex]
Rearrange unknown terms to the left side of the equation:
[tex] - b = - 8 + 5[/tex]
Calculate the sum or difference:
[tex] - b = - 3[/tex]
Divide both sides of the equation by the coefficient of variable:
[tex]b = 3[/tex]
Substitute:
[tex]y = - 4x + 3[/tex]
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