4.1 – Slope-Intercept FormClass:

Date:

Main Ideas: Assignment:

Review

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.

Slope-Intercept

Formb – is the y-intercept and it is where the linear function Begins

m∨a – is the slope (or ROC) and it is how the linear function Moves

Writing in Slope-Int

Write an equation in slope-intercept form of the line with a slope of 14 and a y-int. of –1. Then graph the equation.

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

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Name:

Topic: Graphing in Slope-Intercept Form

4.1 – Slope-Intercept Form

Changing Standard to

Slope-Intecept

Ax+By=C↔ y=mx+b2 x+3 y=9 9 x−5 y=15

3 x−4 y=12 x− y=5

Graphing

Graph 5x + 4y = 8. Graph 3x + 2y = 6.

Graph y = –7. Graph 5y = 10.

Writing Given Graph

Write the equation in slope-intercept form for the line shown in the graph?

Write the equation in slope-intercept form for the line shown in the graph?

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4.1 – Slope-Intercept Form

Word Problems

The ideal maximum heart rate for a 25-year-old exercising to burn fat is 117 beats per minute. For every 5 years older than 25, that ideal rate drops 3 beats per minute.

A. Write a linear equation to find the ideal maximum heart rate for anyone over 25 who is exercising to burn fat.

B. Graph the equation.

C. Find the ideal maximum heart rate for a 55-year-old person exercising to burn fat.

Your Turn The amount of money spent on Christmas gifts has increased by an average of $150,000 ($0.15 million) per year since 1986. Consumers spent $3 million in 1986. Graph the equation.

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B.

D.

4.1 – Slope-Intercept Form

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