PRESENTATION OUTLINE
WHAT IS LINEAR EQUATION?
- It has one or two variables.
- No variable in a linear equation is raised to a power greater than 1 or used as the denominator of a fraction.
- When you find pairs of values that make the linear equation true and plot those pairs on a coordinate grid,
- all of the points for any one equation lie on the same line. Linear equations graph as straight lines.
HOW DO YOU GRAPH A LINEAR EQUATION?
- Locate the y-intercept on the graph and plot the point.
- From this point, use the slope to find a second point and plot it.
Variable(s) in linear expressions:
- Cannot have exponents (or powers).
- Cannot multiply or divide each other.
- Cannot be found under a root sign or square root sign.
What is the slope of a line?
The slope of a line is a number that describes both the direction and the steepness of the line.
How do you find Slope of a Line?
To find the slope, we will need two points from the line.
How can you tell if an equation is linear?
If a function has no exponents greater than 1.
HOW DO YOU USE SLOPE TO GRAPH AN EQUATION?
WHAT IS SLOPE INTERCEPT FORM?
- It's a standard method for writing the equation of a line. It has two variables,
- X and y, and an unlimited number of "solutions" (the line is infinitely long).
What is direct variation?
A relationship between two variables in which one is a constant multiple of the other. In particular, when one variable changes the other changes in proportion to the first.
What is constant proportionality?
A relationship between two variables in which one is a constant multiple of the other. In particular, when one variable changes the other changes in proportion to the first.