4.3 – writing equations in point slope form. ex. 1 write the point-slope form of an equation for a...

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.

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

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

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

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

y – y1 = m(x – x1)

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

x1

y – y1 = m(x – x1)

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

x1 y1

y – y1 = m(x – x1)

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

x1 y1 m

y – y1 = m(x – x1)

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

x1 y1 m

y – y1 = m(x – x1)

y –

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

x1 y1 m

y – y1 = m(x – x1)

y –

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

x1 y1 m

y – y1 = m(x – x1)

y – 5

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

x1 y1 m

y – y1 = m(x – x1)

y – 5 =

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

x1 y1 m

y – y1 = m(x – x1)

y – 5 =

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

x1 y1 m

y – y1 = m(x – x1)

y – 5 = -3

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

x1 y1 m

y – y1 = m(x – x1)

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.

x1 y1 m

y – y1 = m(x – x1)

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.

x1 y1 m

y – y1 = m(x – x1)

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.

x1 y1 m

y – y1 = m(x – x1)

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.

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