Question

Does this formula, y=9x+1, determine y as a function of x: yes or no. To solve this, would I make an input/output chart with random values for x?

Answer 1

yes it is a function of x

Answer 2

It really depends on what you mean by "solve." Are you graphing it, finding a certain value, looking for y when x = 0, or x when y = 0?

Answer 3

By solve, I mean determining whether the formula determines y as a function of x. You answered "yes" .. basically, how did you get that answer?

Answer 4

yes, since y equals some constant times a variable, in this case, x, y then is a function of x.
9 is the slope and 1 is the y-intercept
To graph, put a point at the point (0,9), then draw a line from there with a slope of 9 (i.e. 9 to the right and 1 up)
In this form y = mx + b, m is the slope, x the variable, b the y-intercept
m and b are constants
Line y = 9x + 1 then is slanted from lower left to upper right infinitely going through point (0,9)

Answer 5

Because you have it written in the form y = stuff that includes x

Answer 6

actually draw a line from (0,9) with slope 9 is 9 up and 1 to the right or 9 down and one to the left

Answer 7

If slope were negative then draw line 9 up and 1 left or 9 down and 1 left
graph would then be drawn from lower right to upper left, indefinitely

Answer 8

Right, thank you both!

Answer 9

y-intercept is actually (0,1), you know this because if you set x = 0, then y = 1