y=mx+b
What is Slope Intercept Form?
y-y1=m(x-x1)
What is point-slope form?
When x is equal to zero?
What is the y-intercept?
When y is equal to zero
What is the x-intercept?
What is the slope formula?
Given this set of information, write the equation.
m= -5, y-intercept (0, 3)
y=-5x+3
Write an equation given the following points:
(2, 1) and (4, 3)
y-1=1(x-2) or y-3=1(x-4)
Every input has one output
or
every x has one y
What is a function?
all the x values in a function
What is domain?
All the y values in a function
What is range?
Write an example of a linear equation.
any equation written in y=mx+b form
example: y=4x+9 or y=3x
How can you tell if a graph is a function or not?
Use the vertical line test. If it passes the vertical line test, it is a function. If it does not pass, it is not a function.
How can you tell if a graph is discrete?
The points on the graph are not connected.
How can you tell if a graph is continuous?
All the points on the graph are connected
Write an example of a non-linear equation.
any equation that has an variable with an exponent
example: y=x2+3
How do I graph using slope intercept form? y=mx+b
Use my y-intercept as my first starting point and use my slope to go up and over to the right to find my next point.
How do I use point slope form to graph and equation?
Use the x,y in your equation as the starting point and use the slope to go up and over to the right to find your other point.
How can I find the graph of an equation in standard form? Ax+By = C
Plug in 0 for y and solve for x to get the x-intercept. That will be the first point. Plug in 0 for x and solve for y to get the y-intercept. That will be the second point. Then connect the points to make your graph.
How do I find the slope from a table?
See how much y is increasing by and see how much x is increasing by. Then divide the increase in y into the increase in x to find your slope.
What is the slope in this equation y=-3x+2
-3
How do I find the slope of a line from looking at a graph?
Pick two points on the graph and make a slope triangle to see what the height and base of the triangle is. The height over the base will be the slope.
A taxi charges a pick-up fee plus a charge per mile. Maria paid $5. 50 for a 3 mile ride. Tommy paid $10.25 for a 9 mile ride. What is the slope or rate of this situation?
How can you tell if a graph is linear vs non-linear?
A linear graph has straight lines.
Given the following information, find the y intercept.
(2, 4) and m=3
y-intercept = -2
How can you tell whether or not a table represents a function?
Look at the two columns. If there are any numbers that are the same in the input column, then it is not a function.