Which shows the equation y – 4 = 2(x + 3) written in standard form? A. –2x + y = 10 B. –2x + y = 7 C. y = 2x + 7 D. y = 2x + 10

Answer:A. [tex]-2x+y=10[/tex]Step-by-step explanation:Given:The equation of a line is given as:[tex]y-4=2(x+3)[/tex]The standard form of an equation of a line is of the form:[tex]Ax+By=C[/tex], where, A, B and C are constants.Now, we have to rearrange the above equation in standard form.[tex]y-4=2(x+3)[/tex]Distribute 2 to [tex]x+3[/tex]. This gives,[tex]y-4=2x+6[/tex]Add 4 on both sides. This gives,[tex]y-4+4=2x+6+4\\y=2x+10[/tex]Now, add -2x on both sides. This gives,[tex]y-2x=2x-2x+10\\y-2x=10[/tex]Now, rearrange in standard form. This gives,[tex]-2x+y=10[/tex]Therefore, the standard form is given as [tex]-2x+y=10[/tex]