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Linear Function Re-Test

Published on Nov 20, 2015

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PRESENTATION OUTLINE

LINEAR FUNCTION RE-TEST

EMILY COLUCCI 4TH PERIOD

VERTICAL LINES

SLOPE, GRAPH, AND EQUATION
Photo by christing-O-

SLOPE

  • Vertical lines have NO SLOPE.
  • The concept of slope simply does not work for vertical lines.
  • The slope doesn't exist!
Photo by digicacy

EQUATION

  • Remember that vertical lines only have an 'x' value and no 'y' value.
  • Equation: X = n n- any number
  • Say we are going through (2,-1). X=2 and n=-1
  • Final equation: X=2
Photo by gever tulley

GRAPH

  • Plot the graph of the following relation
  • X=3
  • (Picture is in the background)
  • All you have to do is find a point (X)
  • And draw a vertical line!

HORIZONTAL LINE

Y = B, WHERE B IS THE Y-INTERCEPT.
Photo by dennisbehm

SLOPE

  • The slope of a horizontal line is always 0.

GRAPH

  • To graph a horizontal line that goes through a given point, first plot that point.
  • Then draw a straight line left and right that goes through the point.
  • Ex. X=3
  • (Graph is in background)

EQUATION

  • Y=n n= any number
  • Say we were going through (5,3)
  • Y=3 n=5
  • Final equation: Y=3
Photo by JcMaco

STANDARD FORM

Ax+By=C
Photo by Sam Ilić

Untitled Slide

PARALLEL & PERPENDICULAR LINES

Photo by VinothChandar

PARALLEL LINES

  • Since slope is a measure of the angle of a line from the horizontal,
  • And since parallel lines must have the same angle,
  • Then parallel lines have the same slope —
  • and lines with the same slope are parallel.

PERPENDICULAR LINES

  • If you visualize a line with positive slope (so it's an increasing line),
  • then the perpendicular line must have negative slope (because it will be a decreasing line).
  • So perpendicular slopes have opposite signs.
  • The other "opposite" thing with perpendicular slopes is that their values are reciprozcals;
  • perpendicular slopes have opposite that is, take the one slope value, &flip it upside down.
Photo by l e o j

PERPENDICULAR LINES

  • Put this together with the sign change,
  • and you get that the slope of the perpendicular line is the "negative reciprocal"
  • Put this together of the slope of the original line—and two lines with slopes that are negative reciprocals
  • of each other are perpendicular to each other.
Photo by l e o j

INVERSE OF AN EQUATION

Photo by mfhiatt

INVERSE

  • The inverse of a function has all the same points as the original function,
  • except that the x's and y's have been reversed.
Photo by quinn.anya

SCATTER PLOT

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SCATTER PLOT- CALCULTORS

  • Press menu to see Main Menu. Highlight STAT and press EXE
  • Press SHIFT [set up]. Arrow down to grid and press F2. Press EXE
  • Press F1 (graph) to display the graph menu
  • Press F6 (set) to enter the graph settings menu.
  • Press function key to select a graph.
Photo by VinothChandar

SCATTER PLOT- CALCULATORS

  • Arrow down to graph type. Press F1 (SCAT) to select scatter.
  • Arrow down to X list to display first choices. Press F1 to select list 1
  • Similarly, choose list 2 for Y list.
  • Arrow down to mark type and select mark
  • Arrow down to Graph and select graph color. Press exit
Photo by VinothChandar