The points (3, 24) and (7, 56) represent points of a function where y, the number of photographs, varies directly with x, the number of pages in an album. Which statement describes another point on the graph of this function?

Question

snowflake0531 · Answer

Firstly, you would have to find the equation of this.
Then, you can just state a random point, but x has to be positive.
Do you know how to find the slope of this?

Human1616 · Answer

is that where i put y2-y1 over x2-x1

snowflake0531 · Answer

Yes, that's correct!
Do you know how to do that?

Human1616 · Answer

so i would start with 56-24 witch equals  32 then i would subtract 3 from 7 and get 4

snowflake0531 · Answer

Yes!, So then it would be 32/4, which is 8
So, there's our slope!
But then, we have to find the y-intercept to know the whole equation
Choose one of the two coordinates, either (3,24) or (7,56) and plug the x and the y, and also the slope, into the equation y=mx+b, and solve for b

Human1616 · Answer

y=3x+8
 is that correct or is it y=24x+8

snowflake0531 · Answer

How did you do this?

snowflake0531 · Answer

Nevermind,
So, I would use the first coordinate point, (3,24)
and the slope is 8
So, 24 = 3(8) +b
24=24+b
so, b=0
Therefore, the equation of the line would be y= 8x
Ye?

Human1616 · Answer

ye that makes sense

snowflake0531 · Answer

Okay, so "Which statement describes another point on the graph of this function?" and also "where y, the number of photographs, varies directly with x, the number of pages in an album"
Choose a random x value

Human1616 · Answer

8 so it is an easy number to multiply by

snowflake0531 · Answer

Okay, and plugging in 8 as the value of x in y=8x, what is y?
I suggest multiplying 8 by 8

Human1616 · Answer

64

snowflake0531 · Answer

Okay, so y=64
So, when x is 8, y is 64
What does this mean? *referencing back to "where y, the number of photographs, varies directly with x, the number of pages in an album"

Human1616 · Answer

64 photographs to 8 pages?

snowflake0531 · Answer

Yes, but I just reread the question
It seems like this is a multiple choice question... oops.
What are the choices.

Human1616 · Answer

i figured it out by looking at the answer choices and got the right one thank you for your help

snowflake0531 · Answer

Yw!~