Question

Write y = –2/5x – 3 in standard form using integers.

Answer 1

2x + 5y = –15
2x + y = –3
2x + 5y = –3
x + y = –15

Answer 2

\[\large y=-\frac{2}{5}x-3\]So the first thing we have to do is get rid of the fraction since they want all of the coefficients to be INTEGERS. :)

Hmm it looks like the largest denominator is a 5.
So let's multiply both sides by 5.\[\large 5(y)=\left(-\frac{2}{5}x-3\right)5\]We'll have to distribute the 5 to each term on the right side.

Answer 3

\[\large 5y=-5\cdot \frac{2}{5}x-3\cdot5\]

Answer 4

From here, the 5's will cancel out on the x term, just as we wanted. And the 3 x 5 will give us 15.\[\large 5y=-\cancel{5}\cdot \frac{2}{\cancel{5}}x-15\]

Giving us,\[\large 5y=-2x-15\]

Answer 5

Then to get it into standard form, I think all we need to do is ADD 2x to each side right? :)

Answer 6

Ahh thank you for explaining! (: And yes

Answer 7

@zepdrix so which answer is it? (:

Answer 8

Adding 2x to each side gives us,
\[\large 5y+2x=\cancel{-2x}-15\cancel{+2x}\]

Answer 9

So it's A! (:

Answer 10

Can I ask you a question or two more @zepdrix ? I like how you explain it

Answer 11

The table shows the height of a tree as it grows. What equation in slope-intercept form gives the tree's height at any time?

Time Height
(months) (inches)
2 14
4 23
6 32
8 41

y = 9x + 2
y = 9/2x + 5
y = 9/2x
y = 5x + 9/2

Answer 12

Write an equation in point-slope form for the line through the given point with the given slope.

(–7, 9); m = 4/5

y + 7 = 4/5(x – 9)
y – 7 = 4/5(x + 9)
y – 9 = 4/5(x + 7)
y + 9 = 4/5(x – 7)

Answer 13

Bahhh I gotta go do some laundry D: Soz!

You should close this thread an open a new one! C:
So people can find your questions easier instead of scrolling way way down :D heh