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Slope & Slope-Intercept Equations
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Slope is the measure of the steepness of a line!
IN LAYMAN’S TERMS: Slope is the measure of the steepness of a line!
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HOW IT’S FIGURED: **OR** VERTICAL CHANGE ___________________
STEEPNESS = HORIZONTAL CHANGE **OR** Change in Y-axis ___________________ SLOPE (m) = Change in X-axis
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Steps Determine Point 1 & 2 Label x1, y1, x2, y2
Substitute in the formula:
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Find the slope of a line that contains points A(-2, 5) B(4, -5)
WORK TIME! Find the slope of a line that contains points A(-2, 5) B(4, -5)
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HERE’S HOW YOU SOLVE IT:
Change in Y-axis ___________________ SLOPE (m) = Change in X-axis 5 – (-5) ___________________ m of line AB = -2 - 4 10 ___________________ = -6 5 ___________ - = 3
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NOW TRY THESE ON YOUR OWN
Find the slope of a line that contains each pair of points: R(9, -2) S(3, -5) M(7, -4) N(9, 4)
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True or False?? ALL HORIZONTAL LINES HAVE THE SAME SLOPE
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#1: All horizontal lines have the same slope. TRUE
THE ANSWER! #1: All horizontal lines have the same slope. TRUE
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TWO LINES MAY HAVE THE SAME SLOPE
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#2: Two lines may have the same slope. TRUE
THE ANSWER! #2: Two lines may have the same slope. TRUE
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PASSES THROUGH THE ORIGIN
A LINE WITH A SLOPE OF 1 PASSES THROUGH THE ORIGIN
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#3: A line with a slope of 1 passes through the origin. FALSE
THE ANSWER! #3: A line with a slope of 1 passes through the origin. FALSE
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Use the Slope to Graph a Line
You will need an ordered pair and the slope Graph the line that passes through (1,4) and has a slope
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