2.4 – Writing Linear Equations
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# 2.4 – Writing Linear Equations. 2.4 – Writing Linear Equations Forms:

Dec 31, 2015

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• 2.4 Writing Linear Equations

• 2.4 Writing Linear Equations

Forms:

• 2.4 Writing Linear Equations

Forms: Standard Form

• 2.4 Writing Linear Equations

Forms: Standard Form Ax + By = C

• 2.4 Writing Linear Equations

Forms: Standard Form Ax + By = CSlope-Intercept Form

• 2.4 Writing Linear Equations

Forms: Standard Form Ax + By = CSlope-Intercept Form y = mx + b

• 2.4 Writing Linear Equations

Forms: Standard Form Ax + By = CSlope-Intercept Form y = mx + bPoint-Slope Form

• 2.4 Writing Linear Equations

Forms: Standard Form Ax + By = CSlope-Intercept Form y = mx + bPoint-Slope Form y y1 = m(x x1)

• 2.4 Writing Linear Equations

Forms: Standard Form Ax + By = CSlope-Intercept Form y = mx + bPoint-Slope Form y y1 = m(x x1)

Example 1 - Write an Equation Given Slope & a Point

• 2.4 Writing Linear Equations

Forms: Standard Form Ax + By = CSlope-Intercept Form y = mx + bPoint-Slope Form y y1 = m(x x1)

Example 1 - Write an Equation Given Slope & a PointWrite and equation in slope-intercept form for the line that has a slope of -3/2 and passes through (-4,1).

• 2.4 Writing Linear Equations

Forms: Standard Form Ax + By = CSlope-Intercept Form y = mx + bPoint-Slope Form y y1 = m(x x1)

Example 1 - Write an Equation Given Slope & a PointWrite and equation in slope-intercept form for the line that has a slope of -3/2 and passes through (-4,1).Given:

• 2.4 Writing Linear Equations

Forms: Standard Form Ax + By = CSlope-Intercept Form y = mx + bPoint-Slope Form y y1 = m(x x1)

Example 1 - Write an Equation Given Slope & a PointWrite and equation in slope-intercept form for the line that has a slope of -3/2 and passes through (-4,1).Given: m = -3/2

• 2.4 Writing Linear Equations

Forms: Standard Form Ax + By = CSlope-Intercept Form y = mx + bPoint-Slope Form y y1 = m(x x1)

Example 1 - Write an Equation Given Slope & a PointWrite and equation in slope-intercept form for the line that has a slope of -3/2 and passes through (-4,1).Given: m = -3/2 (-4,1)

• 2.4 Writing Linear Equations

Forms: Standard Form Ax + By = CSlope-Intercept Form y = mx + bPoint-Slope Form y y1 = m(x x1)

Example 1 - Write an Equation Given Slope & a PointWrite and equation in slope-intercept form for the line that has a slope of -3/2 and passes through (-4,1).Given: m = -3/2 (-4,1) Point-Slope

• 2.4 Writing Linear Equations

Forms: Standard Form Ax + By = CSlope-Intercept Form y = mx + bPoint-Slope Form y y1 = m(x x1)

Example 1 - Write an Equation Given Slope & a PointWrite and equation in slope-intercept form for the line that has a slope of -3/2 and passes through (-4,1).Given: m = -3/2 (-4,1) Point-Slope y y1 = m(x x1)

• 2.4 Writing Linear Equations

Forms: Standard Form Ax + By = CSlope-Intercept Form y = mx + bPoint-Slope Form y y1 = m(x x1)

Example 1 - Write an Equation Given Slope & a PointWrite and equation in slope-intercept form for the line that has a slope of -3/2 and passes through (-4,1).Given: m = -3/2 (-4,1) Point-Slope y y1 = m(x x1) y 1 = (-3/2)(x (-4))

• 2.4 Writing Linear Equations

Forms: Standard Form Ax + By = CSlope-Intercept Form y = mx + bPoint-Slope Form y y1 = m(x x1)

Example 1 - Write an Equation Given Slope & a PointWrite and equation in slope-intercept form for the line that has a slope of -3/2 and passes through (-4,1).Given: m = -3/2 (-4,1) Point-Slope y y1 = m(x x1) y 1 = (-3/2)(x (-4)) y 1 = (-3/2)(x + 4)

• 2.4 Writing Linear Equations

Forms: Standard Form Ax + By = CSlope-Intercept Form y = mx + bPoint-Slope Form y y1 = m(x x1)

Example 1 - Write an Equation Given Slope & a PointWrite and equation in slope-intercept form for the line that has a slope of -3/2 and passes through (-4,1).Given: m = -3/2 (-4,1) Point-Slope y y1 = m(x x1) y 1 = (-3/2)(x (-4)) y 1 = (-3/2)(x + 4) y 1 = (-3/2)x 6

• 2.4 Writing Linear Equations

Forms: Standard Form Ax + By = CSlope-Intercept Form y = mx + bPoint-Slope Form y y1 = m(x x1)

Example 1 - Write an Equation Given Slope & a PointWrite and equation in slope-intercept form for the line that has a slope of -3/2 and passes through (-4,1).Given: m = -3/2 (-4,1) Point-Slope y y1 = m(x x1) y 1 = (-3/2)(x (-4)) y 1 = (-3/2)(x + 4) y 1 = (-3/2)x 6

• 2.4 Writing Linear Equations

Forms: Standard Form Ax + By = CSlope-Intercept Form y = mx + bPoint-Slope Form y y1 = m(x x1)

Example 1 - Write an Equation Given Slope & a PointWrite and equation in slope-intercept form for the line that has a slope of -3/2 and passes through (-4,1).Given: m = -3/2 (-4,1) Point-Slope y y1 = m(x x1) y 1 = (-3/2)(x (-4)) y 1 = (-3/2)(x + 4) y 1 = (-3/2)x 6 + 1 + 1

• 2.4 Writing Linear Equations

Forms: Standard Form Ax + By = CSlope-Intercept Form y = mx + bPoint-Slope Form y y1 = m(x x1)

Example 1 - Write an Equation Given Slope & a PointWrite and equation in slope-intercept form for the line that has a slope of -3/2 and passes through (-4,1).Given: m = -3/2 (-4,1) Point-Slope y y1 = m(x x1) y 1 = (-3/2)(x (-4)) y 1 = (-3/2)(x + 4) y 1 = (-3/2)x 6 + 1 + 1 y = (-3/2)x 5

• Example 2 Write an Equation of a Perpendicular Line

• Example 2 Write an Equation of a Perpendicular LineWrite an equation for the line that passes through (-4,3) and is perpendicular to the line whose equation is y = -4x 1.

• Example 2 Write an Equation of a Perpendicular LineWrite an equation for the line that passes through (-4,3) and is perpendicular to the line whose equation is y = -4x 1. (-4,3)

• Example 2 Write an Equation of a Perpendicular LineWrite an equation for the line that passes through (-4,3) and is perpendicular to the line whose equation is y = -4x 1. (-4,3) m1 = -4

• Example 2 Write an Equation of a Perpendicular LineWrite an equation for the line that passes through (-4,3) and is perpendicular to the line whose equation is y = -4x 1. (-4,3) m1 = -4m2 =

• Example 2 Write an Equation of a Perpendicular LineWrite an equation for the line that passes through (-4,3) and is perpendicular to the line whose equation is y = -4x 1. (-4,3) m1 = -4m2 = So, write eq. through (-4,3) w/m2 = .

• Example 2 Write an Equation of a Perpendicular LineWrite an equation for the line that passes through (-4,3) and is perpendicular to the line whose equation is y = -4x 1. (-4,3) m1 = -4m2 = So, write eq. through (-4,3) w/m2 = .y y1 = m(x x1)

• Example 2 Write an Equation of a Perpendicular LineWrite an equation for the line that passes through (-4,3) and is perpendicular to the line whose equation is y = -4x 1. (-4,3) m1 = -4m2 = So, write eq. through (-4,3) w/m2 = .y y1 = m(x x1)y 3 = (x (-4))

• Example 2 Write an Equation of a Perpendicular LineWrite an equation for the line that passes through (-4,3) and is perpendicular to the line whose equation is y = -4x 1. (-4,3) m1 = -4m2 = So, write eq. through (-4,3) w/m2 = .y y1 = m(x x1)y 3 = (x (-4)) y 3 = (x + 4)

• Example 2 Write an Equation of a Perpendicular LineWrite an equation for the line that passes through (-4,3) and is perpendicular to the line whose equation is y = -4x 1. (-4,3) m1 = -4m2 = So, write eq. through (-4,3) w/m2 = .y y1 = m(x x1)y 3 = (x (-4)) y 3 = (x + 4)y 3 = (x) + (4)

• Example 2 Write an Equation of a Perpendicular LineWrite an equation for the line that passes through (-4,3) and is perpendicular to the line whose equation is y = -4x 1. (-4,3) m1 = -4m2 = So, write eq. through (-4,3) w/m2 = .y y1 = m(x x1)y 3 = (x (-4)) y 3 = (x + 4)y 3 = (x) + (4) y 3 = (x) + 1

• Example 2 Write an Equation of a Perpendicular LineWrite an equation for the line that passes through (-4,3) and is perpendicular to the line whose equation is y = -4x 1. (-4,3) m1 = -4m2 = So, write eq. through (-4,3) w/m2 = .y y1 = m(x x1)y 3 = (x (-4)) y 3 = (x + 4)y 3 = (x) + (4) y 3 = (x) + 1 + 3+ 3

• Example 2 Write an Equation of a Perpendicular LineWrite an equation for the line that passes through (-4,3) and is perpendicular to the line whose equation is y = -4x 1. (-4,3) m1 = -4m2 = So, write eq. through (-4,3) w/m2 = .y y1 = m(x x1)y 3 = (x (-4)) y 3 = (x + 4)y 3 = (x) + (4) y 3 = (x) + 1 + 3+ 3 y = (x) + 4

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