Slope & Slope-Intercept Equations

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Presentation transcript:

Slope & Slope-Intercept Equations

Slope is the measure of the steepness of a line! IN LAYMAN’S TERMS: Slope is the measure of the steepness of a line!

HOW IT’S FIGURED: **OR** VERTICAL CHANGE ___________________ STEEPNESS = HORIZONTAL CHANGE **OR** Change in Y-axis ___________________ SLOPE (m) = Change in X-axis

Steps Determine Point 1 & 2 Label x1, y1, x2, y2 Substitute in the formula:

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)

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

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)

True or False?? ALL HORIZONTAL LINES HAVE THE SAME SLOPE

#1: All horizontal lines have the same slope. TRUE THE ANSWER! #1: All horizontal lines have the same slope. TRUE

TWO LINES MAY HAVE THE SAME SLOPE

#2: Two lines may have the same slope. TRUE THE ANSWER! #2: Two lines may have the same slope. TRUE

PASSES THROUGH THE ORIGIN A LINE WITH A SLOPE OF 1 PASSES THROUGH THE ORIGIN

#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

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 .