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Example 1 Write and Graph an Equation Write an equation in slope-intercept form of the line with a slope of and a y-intercept of –1. Then graph the equation. Slope-intercept form

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Page 1: Splash Screen. Concept Example 1 Write and Graph an Equation Write an equation in slope-intercept form of the line with a slope of and a y-intercept

Write and Graph an Equation

Write an equation in slope-intercept form of the line

with a slope of and a y-intercept of –1. Then

graph the equation.

Slope-intercept form

Now graph the equation .

Write and Graph an Equation

Step 1 Plot the y-intercept (0, –1).

Step 2 The slope is .

From (0, –1), move up 1 unit and right 4 units. Plot the point.

Step 3 Draw a line through the points.

Answer:

Page 5: Splash Screen. Concept Example 1 Write and Graph an Equation Write an equation in slope-intercept form of the line with a slope of and a y-intercept

Write an equation in slope-intercept form of the line whose slope is 4 and whose y-intercept is 3.

5% 5%0%

91%A. y = 3x + 4B. y = 4x + 3C. y = 4xD. y = 4

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Page 6: Splash Screen. Concept Example 1 Write and Graph an Equation Write an equation in slope-intercept form of the line with a slope of and a y-intercept

Graph Linear Equations

Graph 5x + 4y = 8.Solve for y to write the equation in slope-intercept form.

8 – 5x = 8 + (–5x) or –5x + 8

Subtract 5x from each side.

Simplify.

Original equation

Divide each side by 4.

5x + 4y = 8

5x + 4y – 5x = 8 – 5x

4y = 8 – 5x

4y = –5x + 8

Graph Linear Equations

Slope-intercept form

Step 1 Plot the y-intercept (0, 2).

Now graph the equation.

From (0, 2), move down 5 units and right 4 units. Draw a dot.

Step 2 The slope is

Step 3 Draw a line connecting the points.

Answer:

Page 8: Splash Screen. Concept Example 1 Write and Graph an Equation Write an equation in slope-intercept form of the line with a slope of and a y-intercept

Graph 3x + 2y = 6.A. B.

C. D.

Page 9: Splash Screen. Concept Example 1 Write and Graph an Equation Write an equation in slope-intercept form of the line with a slope of and a y-intercept

Graph Linear Equations

Graph y = –7.

Step 1 Plot the y-intercept (0, 7).

Step 2 The slope is 0. Draw a line through the points with the y-coordinate 7.

Answer:

Page 10: Splash Screen. Concept Example 1 Write and Graph an Equation Write an equation in slope-intercept form of the line with a slope of and a y-intercept

Graph 5y = 10.

A. B.

C. D.

Page 11: Splash Screen. Concept Example 1 Write and Graph an Equation Write an equation in slope-intercept form of the line with a slope of and a y-intercept

Which of the following is an equation in slope-intercept form for the line shown in the graph?

Page 12: Splash Screen. Concept Example 1 Write and Graph an Equation Write an equation in slope-intercept form of the line with a slope of and a y-intercept

Read the Test ItemYou need to find the slope and y-intercept of the line to write the equation.

Step 1 The line crosses the y-axis at (0, –3), so the y-intercept is –3. The answer is either B or D.

Solve the Test Item

Page 13: Splash Screen. Concept Example 1 Write and Graph an Equation Write an equation in slope-intercept form of the line with a slope of and a y-intercept

Step 2 To get from (0, –3) to (1, –1), go up 2 units and 1 unit to the right. The slope is 2.

Step 3 Write the equation.y = mx + by = 2x – 3

Answer: The answer is B.

Page 14: Splash Screen. Concept Example 1 Write and Graph an Equation Write an equation in slope-intercept form of the line with a slope of and a y-intercept

Which of the following is an equation in slope-intercept form for the line shown in the graph?

0%4%

87%

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Page 15: Splash Screen. Concept Example 1 Write and Graph an Equation Write an equation in slope-intercept form of the line with a slope of and a y-intercept

Assignment:1/5/16

Page 219 – 220Problems 18 – 36 (evens)Due: Friday, 1/8/16

On all future HW assignments, make sure you include both:Your NameAND The Section (4-1)

No Name = no creditNo Section = -1 point

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