Respuesta :
Equation of the line that is parallel to y = 4x + 1 and contains the point (1, 1) is y = 4x - 3.
What are equation of a line that is parallel to that line?
Two lines are said to be parallel if they always maintain the same distance apart. If two lines are drawn so that they could extend into infinity without ever meeting each other, these lines are called parallel. Parallel lines are also called Equidistant lines.
Given
Equation of line y = 4x + 1
Point = (1, 1)
Equation of the line that is parallel to y = 4x + 1 is y=kx + b
Here k =4
y = 4x + b and contains the point (1,1)
Substitute the point (1,1) in y= 4x + b
⇒ 1 = 4(1) + b
⇒ 1 - 4 = b
⇒ b = -3
y = 4x + b
⇒ y = 4x - 3
Equation of the line that is parallel to y = 4x + 1 and contains the point (1, 1) is y = 4x - 3.
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