Question

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

Answer 1

A. y = 4x - 28

Step-by-step explanation

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

`y=4x+b`

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

`\begin{gathered} 4=4\cdot8+b \\ 4=32+b \\ b=4-32 \\ b=-28 \end{gathered}`

Thefore, the equation is:

`y=4x-28`