Question

Complete the standard form of the equation –5y = 10 – 2x how would i do this

Answer 1

divide both side by -5

Answer 2

Hello,

The equation you show fits into the slope-intercept. (i.e. \(y = mx + c\)) Ergo the equation is a linear equation. The standard form of a linear equation is \(Ax + By = C\).

Do you know how to rewrite the equation into that format? @quentavess

Answer 3

um not really can you show me how

Answer 4

do you know how to write a standard form of line equation ?? @quentavess

Answer 5

no

Answer 6

the standard form of equation of line :-
\[\large \bf \color{red}{y}=\color{blue}{mx}+\color{green}{c}\]

Answer 7

and your question :-
\[\large \bf -5y=10-2x\]

Answer 8

can you write this equation into standard form ??

Answer 9

no not really im terrible

Answer 10

first,divide whole equation by 5,we get
\[\large \bf -y=\frac{10-2x}{5}\]

Answer 11

right ??

Answer 12

yeah

Answer 13

after simplifying this,we get
\[\large \bf -y=\frac{10}{5}-\frac{2x}{5}\]
\[\large \bf -y=2-\frac{2x}{5}\]

Answer 14

right ?? @quentavess

Answer 15

right

Answer 16

so,
multiply by -1 to both sides,we get
\[\large \bf y=-2+\frac{2x}{5}\]

Answer 17

just compare with this equation by standard from of line :-
\[\large \bf y=mx+c\]
\[\large \bf y=\frac{2}{5}x-2\]

Answer 18

where,
\[\large \bf m=\frac{2}{5}~and~c=-2\]

Answer 19

hope you understand. @quentavess

Answer 20

sort of yeah

Answer 21

good !