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EXAMPLE 1 Identify slope and y-intercept Identify the slope and y-intercept of the line with the given equation. y = 3x + 4 1 . 3x + y = 2 2 . SOLUTION The equation is in the form y = mx + b. So, the slope of the line is 3, and the y-intercept is 4. a . b. Rewrite the equation in slope- intercept form by solving for y.

EXAMPLE 1 Identify slope and y-intercept Identify the slope and y- intercept of the line with the given equation. y = 3x + 41. 3x + y = 22. SOLUTION The

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Page 1: EXAMPLE 1 Identify slope and y-intercept Identify the slope and y- intercept of the line with the given equation. y = 3x + 41. 3x + y = 22. SOLUTION The

EXAMPLE 1 Identify slope and y-intercept

Identify the slope and y-intercept of the line with the given equation.

y = 3x + 41. 3x + y = 22.

SOLUTION

The equation is in the form y = mx + b. So, the slope of the line is 3, and the y-intercept is 4.

a.

b. Rewrite the equation in slope-intercept form by solving for y.

Page 2: EXAMPLE 1 Identify slope and y-intercept Identify the slope and y- intercept of the line with the given equation. y = 3x + 41. 3x + y = 22. SOLUTION The

EXAMPLE 1 Identify slope and y-intercept

3x + y = 2 Write original equation.

y = –3x + 2 Subtract 3x from each side.

ANSWER

The line has a slope of –3 and a y-intercept of 2.

Page 3: EXAMPLE 1 Identify slope and y-intercept Identify the slope and y- intercept of the line with the given equation. y = 3x + 41. 3x + y = 22. SOLUTION The

EXAMPLE 1 Identify slope and y-intercept

Identify the slope and y-intercept of the line with the given equation.

y = 5x – 31.

GUIDED PRACTICE for Example 1

ANSWER 5, –3

Page 4: EXAMPLE 1 Identify slope and y-intercept Identify the slope and y- intercept of the line with the given equation. y = 3x + 41. 3x + y = 22. SOLUTION The

EXAMPLE 1 Identify slope and y-intercept

Identify the slope and y-intercept of the line with the given equation.

3x – 3y = 122.

GUIDED PRACTICE for Example 1

ANSWER 1, –4

Page 5: EXAMPLE 1 Identify slope and y-intercept Identify the slope and y- intercept of the line with the given equation. y = 3x + 41. 3x + y = 22. SOLUTION The

EXAMPLE 1 Identify slope and y-intercept

Identify the slope and y-intercept of the line with the given equation.

x + 4y = 63.

GUIDED PRACTICE for Example 1

ANSWER 41 ,

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