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Write an equation of a line that passes through the point (8, 4) and is parallel to the line y = 4x + 2.A. y = 4x − 28B. y = 4x + 28C. y = 1 over 4x − 2D. y = 1 over 4x + 2

Respuesta :

ANSWER

A. y = 4x - 28

EXPLANATION

Parallel lines have the same slope. Therefore, the slope of the line is 4. For now we have this equation:

[tex]y=4x+b[/tex]

To find the y-intercept b we have to use the point. Replace x = 8 and y = 4 and solve for b:

[tex]\begin{gathered} 4=4\cdot8+b \\ 4=32+b \\ b=4-32 \\ b=-28 \end{gathered}[/tex]

Thefore, the equation is:

[tex]y=4x-28[/tex]

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