Slope  The SLOPE of a line (m) is the ratio of the vertical change (rise) to the horizontal change (run) between any 2 points.

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Presentation transcript:

Slope  The SLOPE of a line (m) is the ratio of the vertical change (rise) to the horizontal change (run) between any 2 points.

Diagram & Symbol

Slope between 2 points 1.Find 2 points (x, y) that are on the line. 2.Use the slope formula to solve for m:

Slope-intercept form  An equation of a NON-vertical line: Slope value y-intercept value

PRACTICE!!!  Write the slope-intercept form of the equation for:  slope = 3, y-intercept = 6  slope = ½, y-intercept = -5  slope = -2/3, y-intercept = 10

Point-Slope form  An equation of a non-vertical line with the value of a point & a slope value is: Slope value y-coordinate x-coordinate

PRACTICE!!!  Write the point-slope form of the equation for:  Slope=2/3, goes through (-2, -6)  Slope=-3, goes through (4, -1)  Slope=7/12, goes through (5, -8)

How to write the point-slope equation between 2 points 1.Find the slope between the 2 points 2.Use the point-slope form to find the line 3.Write the new equation!

Horizontal & Vertical Lines  Horizontal: y=1 (any number)  Vertical: x=1 (any number)

How to graph a slope-intercept equation 1.Plot the y-intercept point (0, y) 2.Count up/down the rise 3.Count left/right the run 4.Repeat for 2 additional points. 5.Connect the points with a line.

Find the slope of line b

Find the slope of line a

Slope directions