| Slope-Intercept Form y=m(x) + b
Follow along with this on a 2-dimensional graph (x-y coordinate graph):
y is called the "dependent" variable because the y coordinate is dependent on what the x value is that you're putting into the equation.
x is called the "independent" variable
m is the slope. Slope is thought of on a line as: "How far does the line go up or down each time we move one x-unit left or right?" If you draw a line through the coordinates (0,0), (1,1), (2,2).... you see that you go up or down 1 for every unit that you move left or right... A slope is "positive" if it's "pointing up and right" and "negative" if it's "pointing up and left." You'll notice that the patterns on most men's neckties are negative-sloped...
b is the y-intercept, the point at which the graph of the line crosses the y-axis.
So....... if I have this equation: y=3x + 5
I know two things for sure:
1) The slope of the line will be 3, and it's positive (since 3 is a positive number)
2) The graph will cross the y axis at (0,5)
And if I have this equation: y=-2x - 3
I know that:
1) The slope of the line is -2
2) The graph will cross the y axis at (0,-3)
Does any of that help???
Nate |