Linear Equations Part I SlopeIntercept Form Mrs Nwaokafor

Linear Equations Part I (Slope-Intercept Form) Mrs. Nwaokafor Unit 5, Day 3

Warm-Up 1. In your own words, what do you think a Linear Equation is? ? 2. Is the equation Y = 3 x + 4 Linear? 3. If so, find the slope of the line. X Y

What are we learning Today? (Part I) • Warm-Up • Review: What is a linear equation? • Slope-Intercept Form of an Equation: • Formula? ? • Slope • Y-intercept • Write Equation from Graph.

Slope-Intercept Form: One way to write a Linear Equation is called Slope-Intercept Form: Y = mx + b m= Slope b= Y-intercept Examples: 1. ) Y = 7 x + 2 2. ) Y = 2/3 x – 9 Slope: Y-int: Y-Int:

Find the Slope(m) and Y-intercept(b) for each Equation: 1. Y = -5 x + 3 Slope: ______ Y-Intercept: ______ 2. Y = 2/3 x – 7 Slope: ______ Y-Intercept: ______ 3. Y = -6 x + 1 Slope: ______ Y-Intercept: ______ 4. Y = 4 x Slope: ______ Y-Intercept: ______ 5. Y = -1/2 x – 9 Slope: ______ Y-Intercept: ______ 6. Y = 5 Slope: ______ Y-Intercept: ______

Think about it… • Why do you think this type of equation is called Slope-Intercept Form? Y = mx + b

What is a Y-Intercept? • We know what slope is, but what is a Y-Intercept? • The Y-Intercept of a graph is where the line crosses (or intercepts) the Y-axis!

Name the Y-Intercepts for each Graph! Y-Intercept?

Writing an Equation from a Graph To write the equation of a graph in Slope. Intercept form, we must do the following: 1. Identify slope: 2. Identify Y-Intercept: 3. Write Equation using Y = mx + b

1. ) Write an Equation for the Graph: 1. Slope (m): 2. Y-Intercept (b): 3. Slope-Intercept Form Equation (Y=mx+b):

2. ) Write an Equation for the Graph: 1. Slope (m): 2. Y-Intercept (b): 3. Slope-Intercept Form Equation (Y=mx+b):

3. ) Write an Equation for the Graph: 1. Slope (m): 2. Y-Intercept (b): 3. Slope-Intercept Form Equation (Y=mx+b):

Linear Equations Part II (Slope-Intercept Form) Mrs. Nwaokafor Unit 5, Day 4

What are we learning Today? (Part II) • Review Slope-Intercept Form: • Formula • What is Slope (m)? • What is Y-Intercept (b)? • Graphing: • Draw the graph from equation

Recap… • What is Slope-Intercept Form? • What does the variable “m” represent? • What does the variable “b” represent?

Recap… Write the equation of the following graph in Slope Intercept Form: Slope: Y-Intercept: Equation:

Recap… Write the equation of the following graph in Slope Intercept Form: Slope: Y-Intercept: Equation:

How do we go from Equation to GRAPH? ? To Graph an equation in Slope. Intercept Form, we need to plot the Y-intercept and sketch the slope. Example: Y = 1/2 x + 3 Slope: Y-Intercept:

How do we go from Equation to GRAPH? ? To Graph an equation in Slope. Intercept Form, we need to plot the Y-intercept and draw the slope. Example: Y = -3 x + 5 Slope: Y-Intercept:

How do we go from Equation to GRAPH? ? To Graph an equation in Slope. Intercept Form, we need to plot the Y-intercept and draw the slope. Example: Y = 4 x Slope: Y-Intercept:

The End