Question

Write an equation parallel to x-4y=20 that passes through the point 2,-5

Answer 1

Given equation:-

`\sf \: x - 4y = 20`

Parallel equation:-

`\tt \: y = (1)/(4) x - 5`

Answer 2

`y = - 4x + 3`

`\boxed{\frak{Step \: by \: step \: explanation \: : }}`

Based on the position of two lines:

`m = - 4`

Write the equation of linear function

Substitute:

`- 5 = - 4 * 2 + b`

Calculate the product or quotient:

`- 5 = - 8 + b`

Rearrange unknown terms to the left side of the equation:

`- b = - 8 + 5`

Calculate the sum or difference:

`- b = - 3`

Divide both sides of the equation by the coefficient of variable:

`b = 3`

Substitute:

`y = - 4x + 3`

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