Writing Linear Equations (Procedural)

​Welcome!

As you walk in, please make sure you:

• Pull out your Chromebook

• Find a Writing Utensil

• Prepare for your Quiz (Converting Between the 3 forms of Linear Equations)​

​Writing Linear Equations

Which form should you use?​

​Write a Linear Equation!

​What is the equation of the line that goes through the point (-3, 0) and has a slope of 3/4?

• What information is given?

• What are the three forms?

• Which form can be used based on the information given?​

​Decide the correct form!

Multiple Choice

What is the equation of the line with a y-intercept at (0, 17) and a slope of 4?

• $$y=17x+4$$  

• $$y-4=2\left(x-17\right)$$

• $$4x+17y=0$$  

• $$y=4x+17$$  

Multiple Choice

What is the equation of the line containing the point (2, 4) with a slope of 4/3?

• $$y\ =\frac{4}{3}x+4$$

• $$y\ -4=\frac{4}{3}\left(x-2\right)$$

• $$2x+4y=\frac{4}{3}$$  

• $$y=\frac{4}{3}x+2$$  

Multiple Choice

What is the equation of the line that crosses the y-axis at (0, -1) and has a slope of 6?

• $$y=-x+6$$  

• $$x-y=6$$  

• $$y=6x-1$$  

• $$y-1=6\left(x-0\right)$$  

Multiple Choice

What is the equation of the line with a y-intercept at (0, 1) and an x-intercept at (-2, 0)?

• $$x-2y=-2$$  

• $$-2x+y=3$$  

• $$y=x-\frac{1}{2}$$  

• $$y-1=3\left(x+2\right)$$  

​Parallel and Perpendicular

​Parallel -> Same Slope, different y - intercept

​

​​Perpendicular ->

Opposite Reciprocals​

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​Vertical and Horizontal Lines!

Draw

Draw the line x = -5.

Draw

Draw the line y = 3.

Multiple Choice

What is the equation of a line with an undefined slope that crosses the x-axis at (4, 0)?

• $$x=4$$  

• $$x=0$$  

• It is not possible to write an equation.

• $$y\ =\ 4$$  

Multiple Choice

What is the equation of a line with a slope of zero that crosses the point (3, -5)?

• $$x\ =\ 3$$  

• $$x\ =-5$$  

• It is not possible to write an equation.

• $$y=-5$$  

​Write a Linear Equation!

​What is the equation of the line that goes through the point (-3, 0) and has a slope of 3/4?

• What information is given?

• What are the three forms?

• Which form can be used based on the information given?​

​Parallel and Perpendicular!

Multiple Choice

Which equation is parallel to y = 3x - 6?

• $$y\ =\ 15x\ -6$$

• $$y+6=\frac{1}{3}\left(x-3\right)$$

• $$3x+y=-6$$  

• $$y=3x-15$$  

Multiple Choice

Which equation is perpendicular to y = 3x - 6?

• $$y-6=\frac{1}{3}\left(x-3\right)$$

• $$y=-\frac{1}{3}x+5$$  

• $$\frac{1}{3}x-6y=5$$  

• $$y=\frac{1}{3}x+5$$  

Multiple Choice

Which equation is perpendicular to y - 7 = 5(x + 2)?

• $$y=5x+2$$  

• $$2x+7y=5$$  

• $$y-7=-\frac{1}{5}\left(x+2\right)$$  

• $$y=\frac{1}{5}x+2$$  

Multiple Choice

Which equation is parallel to the y-axis?

• $$y=x$$  

• $$y=0$$  

• $$x=2$$  

• $$y=1$$  

​Use the remaining class time to work on any DeltaMath assignments you still need. You may choose to work together or independently but you must be working!!

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​​DeltaMath!​