Linear Equations Lesson 8 - Slope Intercept Form

Slope Intercept Form

Today we will learn to graph an equation in slope
intercept form by finding a point and slope from
reading the equation.

​Guided Notes

Multiple Choice

In y = 3x + 2, what is the slope?

• 2

• 3x

• (0, 2)

• (3, 0)

• Answer not shown.

​The slope is the coefficient of x (the number multiplying with x), but not x.

In y = 3x + 2, the slope is 3, not 3x.

Multiple Choice

What is the y - intercept in y = 3x + 2?

• 3x

• 2

• (2, 0)

• (0, 2)

1. y = 4x + 3

2. y =

2
5x – 7

3. y = x + 2

4. y = -x + 5

5. y = -2x

Fill in the Blank

What is the slope of y = 4x + 3?

m = -2 and b = 9.

So, y = -2x + 9.

Plug things in.

Suppose the slope is -2, and the y - intercept is (0, 9).

Given a point and slope.

Finding the equation

Some text here about the topic of discussion

1. m = 4, b = -2

2. m = 1, b = 0

3. m = 0, b = 6

Multiple Choice

A line has a slope of 1 and a y - intercept of (0, 5). What is the equation of the line?

• y = 0x + 5

• y = x + 0

• y = x + 5

• Answer not shown.

How? Find m and b from the graph. Then, plug the information into y = mx + b.

​Some text here about the topic of discussion.

Write the equation of the line.

How? Find m and b from the graph. Then, plug the information into y = mx + b.

Here the slope is ...

Write the equation of the line.

Multiple Choice

What is the slope of the line?

• 1/2

• 3

• -2

• 2

Multiple Choice

What is the y - intercept of the line?

• 1/2

• 3

• -2

• 2

Graph an equation in

slope

–

intercept form.

y = 3x – 4

Step one: Find the y – intercept.
Plot it on the graph.

What is it here?

Graph an equation in

slope

–

intercept form.

y = 3x – 4

Step one: Find the y – intercept.
Plot it on the graph.

What is it here?

(0, -4)

Graph an equation in

slope

–

intercept form.

y = 3x – 4

Step one: Find the y – intercept.
Plot it on the graph.

What is it here?

Step two: Count the slope, draw
another point.

How do you count a slope of 3?

Graph an equation in

slope

–

intercept form.

y = 3x – 4

Step one: Find the y – intercept.
Plot it on the graph.

What is it here?

Step two: Count the slope, draw
another point.

How do you count a slope of 3?
3

1

3 = 3

1

Graph an equation in

slope

–

intercept form.

y = 3x – 4

Step one: Find the y – intercept.
Plot it on the graph.

What is it here?

Step two: Count the slope, draw
another point.

Step three: Conecta los puntos.

Graph an equation in

slope

–

intercept form.

y = x – 4

Graph an equation in

slope

–

intercept form.

y = −

5
2x – 4

What do you do if you run out of room

to count the slope?

A negative slope is down and

right.

But, so is up and left.

Graph an equation in

slope

–

intercept form.

y = −

5
2x – 4

What do you do if you run out of room

to count the slope?

A negative slope is down and

right.

But, so is up and left.

How do you graph from slope intercept form?

How do you find the slope in slope intercept
form?

How do you write an equation in slope intercept
form?