How do you write $- 4 x + 5 y + 16 = 0$ $-4x+5y+16=0$ in standard form?

Question

How do you write $- 4 x + 5 y + 16 = 0$ $-4x+5y+16=0$ in standard form?

1 Answer

Impact of this question

2105 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-06-06T19:10:35

$y = \frac{4}{5} x - \frac{16}{5}$ $y= 4/5x-16/5$

Using first principles ( from which are derived the shortcuts)

Explanation:

To start off with $y$ $y$ being positive we have to leave it on the left of = and move everything else.

Add $4 x$ $color(blue)(4x)$ to both sides. This turns the $- 4 x$ $-4x$ on the left into 0 and you end up with it on the right of = but being positive.

$- 4 x + 4 x + 5 y + 16 = 0 + 4 x$ $color(brown)(-4xcolor(blue)(+4x)+5y+16= 0 color(blue)(+4x))$

$0 + 5 y + 16 = 4 x$ $0+5y+16=4x$

Subtract $16$ $color(blue)(16)$ from both sides

$5 y + 16 - 16 = 4 x - 16$ $color(brown)(5y+16color(blue)(-16)=4xcolor(blue)(-16))$

$5 y + 0 = 4 x - 16$ $5y+0=4x-16$

Divide both sides by $5$ $color(blue)(5)$ . This turns the 5 from $5 y$ $5y$ into 1 as $\frac{5}{5} = 1 and 1 \times y = y$ $5/5=1" and " 1xxy=y$

$\frac{5}{5} \times y = \frac{4}{5} x - \frac{16}{5}$ $color(brown)(5/(color(blue)(5))xxy=4/(color(blue)(5))x-16/(color(blue)(5))$

$y = \frac{4}{5} x - \frac{16}{5}$ $y= 4/5x-16/5$

Science

Math

Humanities

... and beyond

How do you write $- 4 x + 5 y + 16 = 0$ $-4x+5y+16=0$ in standard form?

1 Answer

Explanation:

Related questions

Impact of this question

Science

Math

Humanities

... and beyond

How do you write −4x+5y+16=0-4x+5y+16=0 in standard form?

1 Answer

Explanation:

Related questions

Impact of this question

How do you write $- 4 x + 5 y + 16 = 0$ $-4x+5y+16=0$ in standard form?