Slope intercept form:
y = m*x + b
Localization points is what these two intercepts are:
Y-intercept: When the x-value is 0, and the b-value of the function (0, b)
X-intercept: When the y-value is 0, x = -b/a
It is pretty cool, because you can use the two points gathered by the two intercepts, and from those, you can graph the function
If a2 * a1 = -1, where the two a’s are the slope of two linear functions, then the two linear functions are perpendicular
The way to find a perpendicular line:
Take the reciprocal/opposite of the slope of the normal function
Linear equations (Also called straight lines) can also be written like Ax + By = C, but you basically just find y and make it look like the normal y = m*x + b form
A solution to a linear function is apparently just a point that is on the graph for some reason
So you can find it by just plugging in the point into the function and see if it equals
Ex.
y = 2x-1 , P(3, 2)
y = 2(3) – 1 = 5
2 does not equal 5, so not a solution
The way to find the radius and diameter of a circle is to simply take the distance from the center to some point on the circle
The Slope formula:
Point Slope form (a=m):
Ex.
Used when you know the slope and ONE point
The way to find b, if you have the slope and a point:
Just plug in the point and slope into the y=mx+b formula and then solve for b
NOT all linear models are perfect and usually only work within a small domain/timeframe etc.
Parallel lines:
The two functions have the same slope, but different b-values
You can find the parallel line by just plugging in in the point you get, and then solve for b, as you already have the slope