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Aim: How do we use the slope/ y -intercept method in graphing a linear equation?

Aim: How do we use the slope/ y -intercept method in graphing a linear equation?. (-3, 2). -4 rise. (2, -2). +5 run. Do Now: Graph a line with a slope of -4/5 that goes through the coordinates (-3, 2). slope. y -intercept. slope. y -intercept. y = m x + b.

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Aim: How do we use the slope/ y -intercept method in graphing a linear equation?

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  1. Aim: How do we use the slope/y-intercept method in graphing a linear equation? (-3, 2) -4 rise (2, -2) +5 run Do Now: Graph a line with a slope of -4/5 that goes through the coordinates (-3, 2).

  2. slope y-intercept slope y-intercept y = mx + b Equation: y = mx+ b slope = m y-intercept = b y y-intercepts (0,3) y = 2x 3 + 0 (0,0) 1 x y = 2x+ 3 (0,-5) y = 2x- 5 y = 2x + 3 y = 2x y = 2x - 5 Slope Intercept Form of a Linear Equation y = mx + b Equation: y = 2x- 1 slope = 2/1 = 2 y-intercept = -1

  3. Slope Intercept Form of a Linear Equation y = mx + b slope y-intercept Model Problem What is the slope? the y-intercept?

  4. 3y = 9 – 2x y 9 8 7 6 5 y-intercept 4 3 2 1 -2 -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 7 8 9 x -1 -2 3 -3 -4 -5 -6 -7 -8 -9 Graphing with Slope Intercept Form y = -2/3x + 3 1. Put equation in terms of y: 2. Slope/y-intercept form: m: slope = -2/3 & b: y-intercept = 3 3. Plot b for y = -2/3x + 3 - (0, 3) (-3, 5) 2x + 3y = 9 2x + 3y = 9 2x + 3y = 9 4. “Rise over run” the slope of -2/3 :down 2 - then right 3 5. Plot the new point, connect with the y-intercept and label the line. 6. Check other points on the line.

  5. y 9 8 7 6 5 4 y = 4x - 5 3 2 1 -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 7 8 9 -1 -2 -3 -4 -5 (0, -5) -6 -7 -8 -9 Graphing with y = mx + b Slope = 4 y-intercept -5 (0, -5) y = 4x - 5 x

  6. Aim: How do we use the slope/y-intercept method in graphing a linear equation? Do Now: Graph a line whose equation is

  7. Model Problem Graph the following linear equations:

  8. Model Problem Graph the line that is parallel to and passes through (-2, -3)

  9. Model Problem Graph the line that is parallel to and passes through (-4, 2)

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