(0,y)
position 0
b = constant
you can write slope-intercept as standard form using algebra, and do it the other way around too
Analytic Geometry
rate of change
you would need the rate of change to determine the steepness of a line, or how slow or fast a line grows. You can also compare the changes of the x-values with the changes of the y-values.
Changes in y-values divided by the changes in the x-values to compare steepness
this is an example of rise/run. you divide the rise of a line by its run to get the slope.
y-intercept
you would need the y-intercept of a line or a graph to figure out if it's a partial variation, or a direct variation.
if the y-intercept = 0, it is a direct variation. if the y-intercept is NOT 0, it is a partial variation.
to find the y-intercept in a table of values, you can look at where x is 0. For example, on this table, the y-intercept is 1.
you can find the y-intercept by looking at a what point the line touches the y-axis; point (x,o) OR you can look at the equation of a line. For slope-intercept, y=mx +b, the "b" would be the y-intercept. For standard form, Ax+By+C=0, the "y" would be the y-intercept.
Linear Equations
Standard Form
Gives us the x-intercept and y-intercept quickly.
x-term first
y-term second
equals to 0
No fractions
Slope-Intercept
Gives the initial value
Graphs line quickly
Gives the rate of change
m = multiplier
(x,0)
Slope
Steepness of a line
