GRAPHING from STANDARD FORM
Transcript of GRAPHING from STANDARD FORM
Unit 5 Smart Notes & TOC.notebook
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February 11, 2019
GRAPHING from STANDARD FORM
Rewrite the equation in slopeintercept form (y = mx + b), then graph using the yintercept (b) and the slope (m).
1.) x 2y = 8 * Solve for y!
b = ____m = ____
2.) 6x 3y = 3
b = ____m = ____
3.) 5y = 15x
b = ____m = ____
4.) 2x y = 3
b = ____m = ____
Unit 5 Smart Notes & TOC.notebook
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February 11, 2019
GRAPHING LINES from TABLES
If given a table and an equation, follow these steps:1.) Rewrite the equation in slopeintercept form (y = mx + b).2.) Substitute the given inputs/xvalues, and solve for the outputs/yvalues.3.) Graph using AT LEAST THREE sets of ordered pairs to make sure you have a straight line.~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
a) 6x + 2y = 10 x y 1 0 1 2
y = __________
b) 8x 4y = 16 x y 1 0 1 2
y = __________
Unit 5 Smart Notes & TOC.notebook
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February 11, 2019
GRAPHING SPECIAL CASES
Special Cases are graphs with either: * Slope = ZERO; a _________________________________ line * UNDEFINED slope; a _____________________________ line
Examples:
a) x = 4 * Find 4 on the xaxis * Draw a ______________________ line because every number on that line has an xvalue of 4.
b) y = 3 * Find 3 on the yaxis * Draw a ______________________ line because every number on that line has an yvalue of 3.
c) x = 1 * Find 1 on the xaxis * Draw a ______________________ line because every number on that line has an xvalue of 1.
Unit 5 Smart Notes & TOC.notebook
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February 11, 2019
WRITING EQUATIONS from GRAPHS
Slope Intercept Form y = ____ x + ____
_______ ______________
Write an equation given the slope and the yintercept.1) slope = 5, yintercept = 2 equation: _______________
2) slope = 1/2 , yintercept = 3 equation: _______________
3) slope = 0, yintercept = 1 equation: _______________
Unit 5 Smart Notes & TOC.notebook
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February 11, 2019
4) 5)
Equation: _______________ Equation: _______________
6) 7)
Equation: _______________ Equation: _______________
Unit 5 Smart Notes & TOC.notebook
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February 11, 2019
WRITING EQUATIONS from SLOPE & a POINTSteps:1.) Write the slope intercept equation (y = mx + b)2.) Substitute slope in for "m" and the ordered pair in for (x,y)3.) Solve for b (the yintercept)4.) Substitute the slope (m) and the yintercept (b) back into the equation5.) Keep the "x" and the "y" in the equation do NOT put numbers in the "x" and the "y" spots.~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
a) Write the equation if the slope is 2 and the line goes through point (2, 3).
b) Slope = 1/2 and (4, 3)
Unit 5 Smart Notes & TOC.notebook
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February 11, 2019
WRITING EQUATIONS from TWO POINTS
Steps:1.) Use the slope formula m = y2 y1 x2 x1 to calculate the slope.2.) Write the slope intercept equation (y = mx + b).3.) Choose ONE of the ordered pairs.4.) Substitute the ordered pair AND the slope into y = mx + b.5.) Solve for the yintercept (b).6.) Substitute the slope (m) and yintercept (b) back into the equation. Do NOT put numbers in for x and y!~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
a) Write the equation of a line which passes through (2, 3) & (4, 5). Slope Solve for b Equation m = y2 y1 (y = mx + b) (y = mx + b) x2 x1
b) (4, 2) & (2, 3) Slope Solve for b Equation m = y2 y1 (y = mx + b) (y = mx + b) x2 x1