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

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