Question

Write the equation of a line through (1,2), parallel to y=4x+1O y=-4x-2O y=-2x+5O y=4x-2O y=5x-2

Answer 1

The slope of the line y = 4x + 1 is 4 because is the number beside the x.

Then, the equation of a line through (1,2) needs to have the same slope.

So, we can calculate the equation using the following equation:

`y-y_1=m(x-x_1)`

Where m is the slope and (x1, y1) is a point in the line.

Replacing m by 4 and (x1, y1) by (1, 2), we get:

`\begin{gathered} y-2=4(x-1) \\ y-2=4x-4 \\ y-2+2=4x-4+2 \\ y=4x-2 \end{gathered}`

Answer: y = 4x - 2