u9 l2 writing linear equations.notebook · 2019. 5. 3. · pointslope form pointslope form m is...

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U9 L2 Writing Linear Equations.notebook Triangle RST is similar to Triangle XYZ with RS= 3 inches and XY = 2 inches. If the area of Triangle RST is 27 square inches, determine and state the area of Triangle XYZ, in square inches. DO NOW! Similar Triangle Review Problem U9 L2 Writing Linear Equation Todays goals Writing linear equations using slope intercept & pointslope form of a line.

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Page 1: U9 L2 Writing Linear Equations.notebook · 2019. 5. 3. · PointSlope Form PointSlope Form m is slope (x1, y1) substitute given point here Now let's try PointSlope Form! This is actually

U9 L2 Writing Linear Equations.notebook

Triangle RST is similar to Triangle XYZ  with  RS= 3 inches and XY = 2 inches.  If the area of Triangle RST is  27 square inches, determine and state the area of Triangle XYZ, in square inches. 

DO NOW!

Similar Triangle Review Problem 

U9 L2 Writing Linear EquationTodays goals­

Writing linear equations using slope intercept & point­slope form of a line.

Page 2: U9 L2 Writing Linear Equations.notebook · 2019. 5. 3. · PointSlope Form PointSlope Form m is slope (x1, y1) substitute given point here Now let's try PointSlope Form! This is actually

U9 L2 Writing Linear Equations.notebook

Determine the equation of the line for each examples below using slope intercept form.

a) m = 3   y intercept = ‐6

Slope­Intercept Form     y = mx+b

b) m = 5 and passes through the point A (4,‐1)

c) That passes through the points A (4,‐2) and B (1,4).

Writing Linear Equation

Point­Slope Form

Point­Slope Form 

m is slope(x1, y1) substitute given point here

Now let's try Point­Slope Form!This is actually just a simple transformation of the slope formula

to

Examples:  Determine the equation of the line.

a) m = 5 A (4,‐1) b) m = ‐2 A (‐8,‐5)

c) A(­3,­5) & B(2, ­1)

Page 3: U9 L2 Writing Linear Equations.notebook · 2019. 5. 3. · PointSlope Form PointSlope Form m is slope (x1, y1) substitute given point here Now let's try PointSlope Form! This is actually

U9 L2 Writing Linear Equations.notebook

Slopes and Equations involving Parallel & Perpendicular Lines

• Parallel lines have the same slopes or the product of theirs slopes is +1.

• Perpendicular lines have slopes that are negative reciprocals of one another or the product of their slopes is ­1

Use Slope Intercept Form or Point Slope Form to write an equation for each!

Write an equation of a line that is parallel to the line 3x+y = 9 and passes through the point (­2, 7). 

You only have to write you answer in slope intercept form if it says to!

Page 4: U9 L2 Writing Linear Equations.notebook · 2019. 5. 3. · PointSlope Form PointSlope Form m is slope (x1, y1) substitute given point here Now let's try PointSlope Form! This is actually

U9 L2 Writing Linear Equations.notebook

Write the equation for a line that passes through (‐6, 8) and is perpendicular to a line that passes through (3, ‐2) & (5, ‐6).  

State you answer in slope­intercept form.

We can start with point­slope, then change to slope­intercept!

Use slope­intercept from the beginning 

­or­

What is the Equation of the Perpendicular Bisector to AB where A(‐1, 5) and B(3, 11)

Should we graph this one to help us?

Page 5: U9 L2 Writing Linear Equations.notebook · 2019. 5. 3. · PointSlope Form PointSlope Form m is slope (x1, y1) substitute given point here Now let's try PointSlope Form! This is actually

U9 L2 Writing Linear Equations.notebook

Homework

U9 L2 

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