Question

Can someone help graph this? y=-1/3x+5

Answer 1

I vote that katie graph it.

Answer 2

hahaha noooooooooo never

Answer 3

This is a linear equation, and it is in the point-slop form:
\[y=mx+b\]Where m is the slope and b is the y-intercept.

Answer 4

Do you know how to plot a point if you are given its (x,y) coordinates ?

Answer 5

yes

Answer 6

you are told
y = (-⅓)x+5

let x=0. in your equation , erase the x and put in 0
remember that -⅓ x is short for -⅓ * x (-⅓ times x)

simplify
what do you get ?

Answer 7

y=5?

Answer 8

yes, because y = -⅓*0 + 5
y = 0+5
y=5

all of that means x=0, y=5 or (0,5) is on the line.
plot that point.

Answer 9

next we find another point. we can pick any x we want. (0 is good because the arithmetic is easy). another "easy" point is when x=3 in
y = (-⅓)x+5

replace x with 3 and find y
y = -⅓ * 3 + 5
can you simplify that ?

Answer 10

I understand it now, thank you.

Answer 11

-⅓ * 3 is the same as -⅓ * 3/1 and we multiply top*top and bottom * bottom

\[ \frac{-1}{3}\cdot \frac{3}{1} = \frac{-3}{3} = -1\]

Answer 12

you should get when x=3, y= 4
plot (3,4)

now draw a straight line through the two points. In theory the line goes on forever in both directions, but you can stop when you get tired.