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Graphs

Analyse and Interpret Graphs

TermDefinition
What is the y-intercept? the point at which the graph line crosses the y axis. When x=0.
What is the y intercept from the following equations? 5x +7 7
What is the y intercept from the following equations? 89x -34 -34
What is the y intercept from the following equations? 12x + 45 45
What is direct variation? when the y intercept equals zero, when there is no additional number added or subtracted onto the equation.
What is a partial variation? When the y intercept does NOT equal 0. When there IS AN additional number added or subtracted onto the equation.
Which equations are direct variations? y= -x, y= 0.25 - 1.3, y= 89x y= -x and y= 89x are direct variations.
Which variations are partial variations? y= 0.98x + 78, y= 4x - 67, and y= 90x. y= 0.98x + 78 and y= 4x - 67 are partial variations.
What is the slope of a graph (or the rate of change)? A measure of the STEEPNESS of a line.
How do you tell if an equation is linear? Has NO VISIBLE exponents
How do you tell if a table of values is linear? Has a consistent pattern.
How do you tell if a graph is linear? The points line up in a straight line.
How do you tell if a graph is partial or direct? Direct: will cross over the 0,0 spot, if not, it is partial. If one of the co-ordinates or one of the places in the table of values is 0,0 then it's direct.
Equation a statement that two mathematical expression are equal and have the same value.
Variable a letter that represent an unknown number.
Numerical Coefficient a number that multiplies the variable.
Constant a known value in an equation or an expression.
Opposite Operation operations that "undo" other operations. sometimes called "inverse operations" addition/subtraction
Distributive Property the rule that states a(b+c) = ab
What is the gradient of y = 3x+4 3