Question

=

Answer 1

- 3

Answer 2

Normally, i would just substitute one of those numbers for y, but I'm not sure what to do because of the x be unknown.

Answer 3

x is known, or rather implied

Answer 4

in order to intercept the y axis ...

Answer 5

y = mx + c, in this equation, c tells us the y intercept, which happens to be -3.

Answer 6

the y axis has another name ... the x=0 axis

Answer 7

I'm not good at this stuff, how do I figure out what x is implied to be?

Answer 8

Oh!

Answer 9

it asks for the y intercept, and that can only happen on the y axis. the y axis IS the x=0 axis

Answer 10

So x=0, then x would equal 0 when it's not clearly defined otherwise?

Answer 11

it is clearly defined. the y axis is defined to be the x=0 axis.

where does the function 1/2 x - 3, cross over (intercept or have in common with) the x=0 axis?

Answer 12

its not that clearly established at first, but a function is not a y value.

a function is some rule that defines a curve in a plane. we can recreate that curve by comparing it to a ruled line - the x line. how far away is the function at a given x axis?

the y axis is a convenience in that it helps us to measure the distance the function is above or below a given value on the x axis.

Answer 13

Oh I get it!

Answer 14

OH!! And where the slope meets the plotted point is what we look for?

Answer 15

slope is gives us movement, not a plotted point.

the movement to get from one point to another is defined by the slope

Answer 16

2 functions can have the same slope, but different positions in teh plane

Answer 17

Oh true. But they would still be running at the same curve, right?

Answer 18

a line is a collection of all the points that fit a defined slope

Answer 19

That statement you just said totally makes sense to me! :D

Answer 20

we can locate individual points on a line, but the line itself is the collect of all points