LEARNING TARGETS: 1. TO IDENTIFY SLOPE FROM A TABLE OF VALUES. 2. TO IDENTIFY SLOPE FROM A GRAPH. 3. TO IDENTIFY SLOPE FROM 2 POINTS. 4. TO IDENTIFY SLOPE.

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Presentation transcript:

LEARNING TARGETS: 1. TO IDENTIFY SLOPE FROM A TABLE OF VALUES. 2. TO IDENTIFY SLOPE FROM A GRAPH. 3. TO IDENTIFY SLOPE FROM 2 POINTS. 4. TO IDENTIFY SLOPE FROM A LINEAR EQUATION. Slope

Slope from a Table To identify slope from a table of values (provided that the data is linear), look for change in the y-coordinates and change in the x-coordinates. Change in y = 16 – 10 = 6 Change in x = 5 – 3 = 2 Slope = xy

Slope from a Table Find the slope of the line from the given table of values. Change in y = –2 – (–1) = –1 Change in x = 2 – 4 = – 2 Slope = xy –1 2–2

Slope from a Graph To determine the slope of a line from its graph, use rise over run. Rise is the vertical change and Run is the horizontal change. Review the video at:

Slope from Two Points To find the slope of a line given two points, use the slope formula. y 2 represents the second y-coordinate y 1 represents the first y-coordinate x 2 represents the second x-coordinate x 1 represents the second x-coordinate

Slope from Two Points Find the slope of the line that passes through (3, 2) and (5, 6). Find the slope of the line that passes through (3, –2 ) and (–2, –1).

Slope from Two Points Find the slope of the line that passes through (–4, 2) and (1, 2). Find the slope of the line that passes through (2, 1) and (2, –4).

Slope from Two Points Review the video at:

Slope from an Equation To determine slope from a linear equation: Slope-Intercept Form y = mx + b Slope is the coefficient of x. y = –6 x + 3 The slope is –6.

Slope from an Equation To determine slope from a linear equation: Standard Form Ax + By = C Solve the equation for y. Rewrite the equation in slope-intercept form. 3x – 2y = 6 –2y = –3x + 6