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3-7A Equations of Lines in the Coordinate Plane. Learning Goals 1. To graph linear equations. Slope-Intercept Form y = mx + b m: slope of the line b: y-axis intersection point. slope (m) = If it is a whole number, put it over 1. example: y = -3x + 2 m = -3 = =. rise. run. -3.
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Slope-Intercept Formy = mx + bm: slope of the lineb: y-axis intersection point
slope (m) = If it is a whole number,put it over 1.example: y = -3x + 2m = -3 = = rise run -3 3 1 -1
Find the slope of the points (-1, 3) and (-3, 9).y2 – y1x2 – x1
Find the slope of the points (-1, 3) and (-3, 9).y2 – y1x2 – x19 – 3-3 - -1
Find the slope of the points (-1, 3) and (-3, 9).y2 – y1x2 – x19 – 3-3 - -16-2
Find the slope of the points (-1, 3) and (-3, 9).y2 – y1x2 – x19 – 3-3 - -16 -2 =
y-axis intercept (b)Hits or crosses the y-axis at this point.Coordinates of they-intercept: (0,b)
slope = = 2 2 1
slope = = 2 y-int. = +2 y = mx + b y = 2x + 2 2 1
Special Linesy = 2Horizontal line passing through (0,2) with a slope = 0.
Special Lines x = 2 Vertical line passing through (2,0) with an undefined slope
To find the slope put the equation in the form y = mx + b.18x – 42y = 210
To find the slope put the equation in the form y = mx + b.18x – 42y = 210 -18x -18x
To find the slope put the equation in the form y = mx + b.18x – 42y = 210 -18x -18x -42y = ?
To find the slope put the equation in the form y = mx + b.18x – 42y = 210 -18x -18x -42y = -18x + 210
To find the slope put the equation in the form y = mx + b.18x – 42y = 210 -18x -18x -42y = -18x + 210 -42 -42 -42
To find the slope put the equation in the form y = mx + b.18x – 42y = 210 -18x -18x -42y = -18x + 210 -42 -42 -42 y =
To find the slope put the equation in the form y = mx + b.18x – 42y = 210 -18x -18x -42y = -18x + 210 -42 -42 -42 3 x y = 7
To find the slope put the equation in the form y = mx + b.18x – 42y = 210 -18x -18x -42y = -18x + 210 -42 -42 -42 3 x - 5 y = 7
To find the slope put the equation in the form y = mx + b.18x – 42y = 210 -18x -18x -42y = -18x + 210 -42 -42 -42Slope = the number in front of x. 3 x - 5 y = 7
To graph the line make surethe equation is in theform y = mx + b.
Turn to page 193.1, 2, 218-12, 16-20, 38-41, 64-66, 71-745 Points: 100% Complete 4 Points: 80% Complete 3 Points: 60% Complete 2 Points: 40% Complete 1 Point: 20% Complete