Writing Equations of Lines from Point and Slope

Writing Equations of Lines from Point and Slope

Let's Review Stuff from Yesterday...

Multiple Choice

Which set of values is a function?

• (9,5) (10,5) (9,-5) (10,-5)

• (3,4) (4,-3) (7,4) (3, 8)

• (6,-5) (7, -3) (8, -1) (9, 1)

• (2, -2) (5, 9) (5, -7) (1, 4)

Multiple Choice

Which set of values is a function?

• (9,5) (10,5) (9,-5) (10,-5)

• (3,4) (4,-3) (7,4) (3, 8)

• (6,-5) (7, -3) (8, -1) (9, 1)

• (2, -2) (5, 9) (5, -7) (1, 4)

Multiple Choice

Is this table a function or not a function?

• Function

• Not a Function

Multiple Choice

Is y a function of x?

• function

• not a function

Multiple Choice

Is y a function of x?

• function

• not a function

Today's Goals:

• Write the equation of a line in slope-intercept form given a point and a slope.

Let's Review Graphing Lines using Slope-Intercept Form

Poll

You have 10 minutes to do the following:

- Open a new tab go to DeltaMath and complete the Graphing Review assignment.

-Rate your performance

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Multiple Choice

Determine the slope and y-intercept from the following equation: y = 3/2x + 3

• slope: 2/3 y-intercept: (0,3)

• slope: 3/2 y-intercept: (0,3)

• slope: -3/2 y-intercept: (0,3)

• slope: 3 y-intercept: 3/2

Multiple Choice

If m=3 and b=6, what is the correct slope intercept equation?

• y=3-6

• y=3x-6

• y=3x+6

• y=6x+3

Multiple Choice

How would you write the equation of a line with a slope of 2/3 and a y-intercept of -3

• y=3/2x+3

• y=2/3-3

• y=2/3x-3

• y=2/3x+3

You can also write the equation of a line from ANY point and a slope...

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Multiple Choice

You are going to write the equation of the line that passes through the point (2, -4) and has a slope of -2.

Don't worry we are going to do this one step at a time.

Part 1: Which equation shows slope-intercept form?

• Ax + By = C

• $y-y_1=m\left(x-x_1\right)$

• $y=mx+b$

Multiple Choice

Write the equation of a line that passes through the point (2, -4) with a slope of -2.

Part 2: What will y=mx + b look like when the slope is plugged in? 

• -2 = mx + b

• y = -2x + b

• y = mx -2

Multiple Choice

Write the equation of a line that passes through the point (2, -4) with a slope of -2.

Part 3: What will y=mx + b look like when the point (2,-4) is plugged in with the slope? 

• -2 = 2(-4) + b

• 2 = -2(-4) + b

• -4 = -2(2) + b

Multiple Choice

Write the equation of a line that passes through the point (2, -4) with a slope of -2.

Part 4: solve for b

-4=-2(2)+ b   

• b = -2

• b = 0

• b = -4

Open Ended

Using m = -2 and b=0, 

write the equation of the line in slope intercept form:

y = mx + b

Okay... take a look at the steps again...

Multiple Choice

Write the equation of the line with slope -2 through the point (7, −1).

• y = −2x + 15

• y = −2x − 15

• y = −2x + 13

• y = −2x − 13

Multiple Choice

Write the slope-intercept form of the equation with the given point and slope.

Through (-1,4) and m = -3

• y = x - 3

• y = -3x + 1

• y = x + 2

• y=-3x + 4

Poll

Open a new tab and go to DeltaMath.com.

You have 15 minutes to complete the Writing Linear Equations Assignment.

Before time runs out, rate your performance.

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