bell quiz. objectives learn to write equations in slope-intercept form

Bell Quiz

Objectives

• Learn to write equations in slope-intercept form.

Slope-Intercept Form

• The slope-intercept form of a linear equation can be used to graph lines quickly because it gives information about the characteristics of the graph of the equation.

Example 1Determining the Slope and y-intercept of a line

Determine the slope and the y-intercept of the equation.

y = 3x – 4

Lesson Practice 1

Determine the slope and the y-intercept of the equation.

y = 7x – 8

Example 2Determining the Slope and y-intercept of a line

Determine the slope and the y-intercept of the equation.

2x + 3y – 9 = 0

Lesson Practice 2

Determine the slope and the y-intercept of the equation.

– 9x + 3y = 12

Solution of an Equation in Two Variables

• The solution of an equation in two variables is an ordered pairs that satisfies the equation.

• Solution of equations in two variables can be represented in a table of values or as a graph on a coordinate plane.

Example 3Graphing an Equation of a Line in Slope-Intercept Form

Graph the line using the equation that is in slope-intercept form.

Lesson Practice 3

Graph the line using the equation that is in slope-intercept form.

Example 4Graphing an Equation of a Line in Slope-Intercept Form

Graph the line using the equation that is in slope-intercept form.

Lesson Practice 4

Graph the line using the equation that is in slope-intercept form.

Example 5Writing the Equation of a Line from a Graph

Write the equation of the graphed line in slope-intercept form.

Lesson Practice 5

Write the equation of the graphed line in slope-intercept form.

Example 6Writing the Equation of a Line from a Graph

Write the equation of the graphed line in slope-intercept form.

Lesson Practice 6

Write the equation of the graphed line in slope-intercept form.

Example 7Calculating rental Rates

Monica is helping prepare a budget for her family vacation. The family has decided to rent canoes for a day on the lake. The rental for a canoe is a $25 flat fee plus $10 per hour. Write and equation in slope-intercept form to represent this situation and then graph it

Solution

Lesson Practice 7

Practice Problems 1

Practice Problems 2

Practice Problems 3

Practice Problems 4

Practice Problems 5

Practice Problems 6

Practice Problems 7

Practice Problems 8

Practice Problems 9

Practice Problems 10