Warm ups What is the slope of the line that passes through (–4, 8) and (5, 2)? Suppose y varies...

Warm ups

What is the slope of the line that passes through (–4, 8) and (5, 2)?

Suppose y varies directly as x and y = –5 when x = 10. Which is a direct variation equation that relates x and y?

Find the next two terms in the arithmetic sequence –7, –4, –1, 2, ….

Is the function represented by the table linear? Explain.

4-1 GRAPHING IN SLOPE INTERCEPT FORMObjective: Write and graph linear equations in

slope-intercept from.

Vocabulary

• slope-intercept form y = mx + b

Slope-Intercept Form

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

Now graph the equation .

Example 1 Graph

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:

Try with a Mathlete

A. y = 3x + 4

B. y = 4x + 3

C. y = 4x

D. y = 4

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

Example 2

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

Example 2 Graph

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:

Try with a MathleteGraph 3x + 2y = 6.

Example 3

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:

TOOGraph 5y = 10.

Example 4Which of the following is an equation in slope-intercept form for the line shown in the graph?

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

Homework

Warm ups What is the slope of the line that passes through (–4, 8) and (5, 2)? Suppose y varies...

Documents

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