1. Section 6.1
Slope Intercept Form

2. Objective By following instructions students will be able to:
Represent a linear function in a way that reveals its slope and y-intercept.

3. Slope Intercept form:
If a line has slope m and y-intercept (0, b) , then the line is described by the equation y = mx + b.

4. Explain 1A Write the equation of each line in slope-intercept form.
Slope is 3, and (2, 5) is on the line.

5. Explain 1B Write the equation of each line in slope-intercept form.
The line passes through (0, 5) and (2, 13) .

6. Your-Turn #1 Write the equation of each line in slope-intercept form.b)
Slope is −1, and (3, 2) is on the line.
The line passes through (1, 4) and (3, 18) .

7. Explain 2A
Write each equation in slope-intercept form. Then graph the line.
y = 5x - 4

8. Explain 2B
Write each equation in slope-intercept form. Then graph the line.
2x + 6y = 6

9. Your-Turn #2
Write each equation in slope-intercept form. Then graph the line.
a) b)
2x + y = 4
2x + 3y = 6

10. Explain 3A
Identify the slope and y-intercept of the graph that represents each
linear situation and interpret what they mean. Then write an equation in
slope-intercept form and use it to solve the problem.
For one taxi company, the cost y in dollars of a taxi ride is a linear function of the distance x in miles traveled. The initial charge is $2.50, and the charge per mile is $0.35. Find the cost of riding a distance of 10 miles.

11. Explain 3B
Identify the slope and y-intercept of the graph that represents each
linear situation and interpret what they mean. Then write an equation in
slope-intercept form and use it to solve the problem.
A chairlift descends from a mountain top to pick up skiers at the bottom. The height in feet of the chairlift is a linear function of the time in minutes since it begins descending as shown in the graph. Find the height of the chairlift 2 minutes after it begins descending.

12. Revisit Objective Did we…
Represent a linear function in a way that reveals its slope and y-intercept?

13. Homework
HW:
Page 202 #s 1-22, 25, 26, 27, 28