2.2 Linear Equations Graph linear equations, identify slope of a linear equation, write linear equations.

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Presentation transcript:

2.2 Linear Equations Graph linear equations, identify slope of a linear equation, write linear equations.

Linear Function  Functions whose graph is a line Linear Equation  How a linear function is represented

x-intercept y-intercept dependent variable  y (y depends on x) independent variable  x

Forms of Linear Equation Standard  Ax + By = C Slope Intercept  y = mx + b 1 Point-Slope Form  y – y 1 = m(x – x 1 )

Slope (m)

Finding Slope through two Points: example: (3, 2) and (-9, 6) example: (0, 3) and (7, -9) example: (-2, -2) and (4, 2)

Finding Slope of a Graphed Line:

Finding Slope From an Equation: example: 4x + 3y = 7

Vertical Lines  Slope is undefined

Horizontal Lines  Slope equals 0

Parallel and Perpendicular Lines:

Writing Equations example: slope= 2, through (4, -2) example: slope= ½ through (8, -1)

example: slope= 0 through (2, -3) example: slope=undefined through (2,-3)

example: (1, 5) and (4, -1)example: (5, 1) and (-4, -3)

Write an equation for each line 1: through (-2,1) and parallel to y=-3x+1 3: through (-7,10) and horizontal 2: through (3,-1) and perpendicular to y=-2/3 x-4 4: through (1,-2/7) and vertical

Classwork #2, 6, 10, 12, 17, 18, 24, 30, 32, 36 Homework #38-41, 44, 52, 56, 64, 70, 78, 84