4.3 – Writing Equations in Point Slope Form

Ex. 1 Write the point-slope form of an equation for a line that passes through (-1,5) with slope -3.

y – y 1 = m(x – x 1 )

Ex. 1 Write the point-slope form of an equation for a line that passes through (-1,5) with slope -3. x 1 y – y 1 = m(x – x 1 )

Ex. 1 Write the point-slope form of an equation for a line that passes through (-1,5) with slope -3. x 1 y 1 y – y 1 = m(x – x 1 )

Ex. 1 Write the point-slope form of an equation for a line that passes through (-1,5) with slope -3. x 1 y 1 m y – y 1 = m(x – x 1 )

Ex. 1 Write the point-slope form of an equation for a line that passes through (-1,5) with slope -3. x 1 y 1 m y – y 1 = m(x – x 1 ) y –

Ex. 1 Write the point-slope form of an equation for a line that passes through (-1,5) with slope -3. x 1 y 1 m y – y 1 = m(x – x 1 ) y –

Ex. 1 Write the point-slope form of an equation for a line that passes through (-1,5) with slope -3. x 1 y 1 m y – y 1 = m(x – x 1 ) y – 5

Ex. 1 Write the point-slope form of an equation for a line that passes through (-1,5) with slope -3. x 1 y 1 m y – y 1 = m(x – x 1 ) y – 5 =

Ex. 1 Write the point-slope form of an equation for a line that passes through (-1,5) with slope -3. x 1 y 1 m y – y 1 = m(x – x 1 ) y – 5 =

Ex. 1 Write the point-slope form of an equation for a line that passes through (-1,5) with slope -3. x 1 y 1 m y – y 1 = m(x – x 1 ) y – 5 = -3

Ex. 1 Write the point-slope form of an equation for a line that passes through (-1,5) with slope -3. x 1 y 1 m y – y 1 = m(x – x 1 ) y – 5 = -3(x –

Ex. 1 Write the point-slope form of an equation for a line that passes through (-1,5) with slope -3. x 1 y 1 m y – y 1 = m(x – x 1 ) y – 5 = -3(x –

Ex. 1 Write the point-slope form of an equation for a line that passes through (-1,5) with slope -3. x 1 y 1 m y – y 1 = m(x – x 1 ) y – 5 = -3(x – (-1))

Ex. 1 Write the point-slope form of an equation for a line that passes through (-1,5) with slope -3. x 1 y 1 m y – y 1 = m(x – x 1 ) y – 5 = -3(x – (-1)) y – 5 = -3(x + 1)

Ex. 2 a) Write y – 4 = ¾(x – 6) in standard form.

Ex. 2 a) Write y – 4 = ¾(x – 6) in standard form. * Standard Form: Ax + By = C

Ex. 2 a) Write y – 4 = ¾(x – 6) in standard form. * Standard Form: Ax + By = C, where A, B, & C are whole numbers and A is positive.

Ex. 2 a) Write y – 4 = ¾(x – 6) in standard form. * Standard Form: Ax + By = C, where A, B, & C are whole numbers and A is positive. y – 4 = ¾(x – 6)

Ex. 2 a) Write y – 4 = ¾(x – 6) in standard form. * Standard Form: Ax + By = C, where A, B, & C are whole numbers and A is positive. y – 4 = ¾(x – 6) 4(y – 4) = 4(¾)(x – 6)

Ex. 2 a) Write y – 4 = ¾(x – 6) in standard form. * Standard Form: Ax + By = C, where A, B, & C are whole numbers and A is positive. y – 4 = ¾(x – 6) 4(y – 4) = 4(¾)(x – 6) 4y – 16 = 3(x – 6)

Ex. 2 a) Write y – 4 = ¾(x – 6) in standard form. * Standard Form: Ax + By = C, where A, B, & C are whole numbers and A is positive. y – 4 = ¾(x – 6) 4(y – 4) = 4(¾)(x – 6) 4y – 16 = 3(x – 6) 4y – 16 = 3x – 18

Ex. 2 a) Write y – 4 = ¾(x – 6) in standard form. * Standard Form: Ax + By = C, where A, B, & C are whole numbers and A is positive. y – 4 = ¾(x – 6) 4(y – 4) = 4(¾)(x – 6) 4y – 16 = 3(x – 6) 4y – 16 = 3x – 18 4y = 3x – 2

Ex. 2 a) Write y – 4 = ¾(x – 6) in standard form. * Standard Form: Ax + By = C, where A, B, & C are whole numbers and A is positive. y – 4 = ¾(x – 6) 4(y – 4) = 4(¾)(x – 6) 4y – 16 = 3(x – 6) 4y – 16 = 3x – 18 4y = 3x – 2 -3x + 4y = -2

Ex. 2 a) Write y – 4 = ¾(x – 6) in standard form. * Standard Form: Ax + By = C, where A, B, & C are whole numbers and A is positive. y – 4 = ¾(x – 6) 4(y – 4) = 4(¾)(x – 6) 4y – 16 = 3(x – 6) 4y – 16 = 3x – 18 4y = 3x – 2 -3x + 4y = -2

Ex. 2 a) Write y – 4 = ¾(x – 6) in standard form. * Standard Form: Ax + By = C, where A, B, & C are whole numbers and A is positive. y – 4 = ¾(x – 6) 4(y – 4) = 4(¾)(x – 6) 4y – 16 = 3(x – 6) 4y – 16 = 3x – 18 4y = 3x – 2 -3x + 4y = -2 (-1)(-3x + 4y) = -1(-2)

Ex. 2 a) Write y – 4 = ¾(x – 6) in standard form. * Standard Form: Ax + By = C, where A, B, & C are whole numbers and A is positive. y – 4 = ¾(x – 6) 4(y – 4) = 4(¾)(x – 6) 4y – 16 = 3(x – 6) 4y – 16 = 3x – 18 4y = 3x – 2 -3x + 4y = -2 (-1)(-3x + 4y) = -1(-2) 3x – 4y = 2

b) Write y – 2 = ¼(x + 3) in slope- intercept form.

*Slope-Intercept Form: y = mx + b

b) Write y – 2 = ¼(x + 3) in slope- intercept form. *Slope-Intercept Form: y = mx + b, where m is slope & b is the y-intercept.

b) Write y – 2 = ¼(x + 3) in slope- intercept form. *Slope-Intercept Form: y = mx + b, where m is slope & b is the y-intercept. y – 2 = ¼(x + 3)

b) Write y – 2 = ¼(x + 3) in slope- intercept form. *Slope-Intercept Form: y = mx + b, where m is slope & b is the y-intercept. y – 2 = ¼(x + 3) y – 2 = ¼x + ¾

b) Write y – 2 = ¼(x + 3) in slope- intercept form. *Slope-Intercept Form: y = mx + b, where m is slope & b is the y-intercept. y – 2 = ¼(x + 3) y – 2 = ¼x + ¾ y = ¼x + ¾ + 2

b) Write y – 2 = ¼(x + 3) in slope- intercept form. *Slope-Intercept Form: y = mx + b, where m is slope & b is the y-intercept. y – 2 = ¼(x + 3) y – 2 = ¼x + ¾ y = ¼x + ¾ + 2

b) Write y – 2 = ¼(x + 3) in slope- intercept form. *Slope-Intercept Form: y = mx + b, where m is slope & b is the y-intercept. y – 2 = ¼(x + 3) y – 2 = ¼x + ¾ y = ¼x + ¾ + 2 y = ¼x + ¾ + 8 / 4

b) Write y – 2 = ¼(x + 3) in slope- intercept form. *Slope-Intercept Form: y = mx + b, where m is slope & b is the y-intercept. y – 2 = ¼(x + 3) y – 2 = ¼x + ¾ y = ¼x + ¾ + 2 y = ¼x + ¾ + 8 / 4 y = ¼x + 11 / 4