Question

Write the equation of the line that is parallel 2 y - 4x = 9 passing through (-2, 1).

Answer 1

first rewrite the equation

`\begin{gathered} 2y-4x=9 \\ 2y=9+4x \\ y=(9)/(2)+2x \end{gathered}`

2 parallel equations have the same slope , so the slope is 2

to write the nes equation we must start from the general equation

`y=mx+b`

where m is the slope and b the y-intercept

now we can replace the slope and the point (-2,1) to find b

`\begin{gathered} (1)=(2)(-2)+b \\ 1=-4+b \\ b=1+4 \\ b=5 \end{gathered}`

then replace b and the slope on th general equation to find the new equation

`y=2x+5`