Question

write the equation y - 2 = 4(x + 5) in standard form

Answer 1

The standard form of the equation of line is like this :
\[y=mx+b\]
So, to get the standard form, we have to transform all other terms to the left side and leave the y "alone" in the right side !
So :
\[y=4(x+5)+2\]
Remark, that we have transformed -2 to the other side and so, we change its sign !
Now , we expend the brackets :
\[y=4x+20+2\]
and finally we get :
\[y=4x+22\]