Models and Relationships

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Models and Relationships

Slope

Describes the direction and the steepness of the line.

The line is constant. Its always linear.

X and Y axis

X axis is sideways (horizontal line) Y axis is up (vertical line)

X is always first when naming a coordinate. (x,y)

Independent and Dependent Variables

Y axis is dependent on X axis because its independent.

Used to graph linear equations

Ratios

A ratio compares values. It says how much of one thing there is compared to another thing.

Quadrants on a cartesian plane

The quadrant numbers goes counter clockwise

They identify positive or negative coordinates on the plane.

Formulas

y = mx + b

Tables of values

these are used to record data and then analyze them to find a pattern to be able to make predictions

y = mx + b is the slope intercept form of the equation of a straight line.

b in y = mx + b shows the y intercept and the y intercept is the point where the line crosses the y axis

m = rise/run

y2 - y1 _____ x2 - x1

Left side coordinate is always the first (x1,y1) then, (x2,y2) on the next coordinate

Used to find the equation of a line in a graph