2.4 – Writing Linear Equations
Dec 31, 2015
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