Question

What is the equation of the line in standard form that passes through the point (1, 24) and has a slope of -0.6?

a) 3x + 5y = 125
b) 3x + 5y = 77
c) 3x + 5y = 123
d) 3x + 5y = 115

Answer 1

How bout start by writing your line in `point-slope` form,\[\large\rm y-y_1=m(x-x_1)\]Plugging in your point,\[\large\rm y-24=m(x-1)\]And your slope,\[\large\rm y-24=-0.6(x-1)\]

Answer 2

Try to shimmy some stuff around to get it in standard form :d

Answer 3

okay thanks! @zepdrix

Answer 4

standard form would be 0.6x+y=24.6

Answer 5

@zepdrix

Answer 6

Mmm I guess I should have given you another hint.
Fractions and decimals are not fun to work with.

\(\large\rm y-24=-0.6(x-1)\)
So as a first step, it might be a good idea to change the -0.6 to a whole number.
We can achieve this by multiplying both sides by 10, right?
That should move the decimal 1 place, giving us -6.
\(\large\rm 10y-240=-6(x-1)\)

Actually you already did a bunch of work,
\(\large\rm 0.6x+y=24.6\)
so let's just multiply by 10 from the point you have reached,
\(\large\rm 6x+10y=246\)

Confusing? What do you think? :d

Answer 7

so i would get c as my answer?

Answer 8

Yayyy good job \c:/

Answer 9

thanks

Answer 10

If you have some free time you should go clean those mandarin oranges out of your hair. They belong in a salad or ice cream, but not hair silly!

Buhaha I'm just messin :p
np

Answer 11

haha