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