How do you find b? “DRY” How do you find b? How do you find b (dry)?

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Presentation transcript:

How do you find b?

“DRY” How do you find b?

How do you find b (dry)?

Review What is slope-intercept form? Y = mX + b ?

Review What is slope-intercept form? Y = mX + b Input

Review What is slope-intercept form? Y = mX + b ?

Review What is slope-intercept form? Y = mX + b Output

Review What is slope-intercept form? Y = mX + b ?

Review What is slope-intercept form? Y = mX + b Rate of change a.k.a. Slope

Review What is slope-intercept form? Y = mX + b ?

Review What is slope-intercept form? Y = mX + b Starting amount a.k.a. ‘y-intercept’ How do you find b?

Riddle I started with some money. Every week I earned $100. After 4 weeks, I had $900. How much did I start with? b m XY

Riddle I started with some money. Every week I earned $100. After 4 weeks, I had $900. How much did I start with? b m XY 4900

Riddle I started with some money. Every week I earned $100. After 4 weeks, I had $900. How much did I start with? b m XY

Riddle I started with some money. Every week I earned $100. After 4 weeks, I had $900. How much did I start with? b m XY

Riddle I started with some money. Every week I earned $100. After 4 weeks, I had $900. How much did I start with? b m XY

Riddle I started with some money. Every week I earned $100. After 4 weeks, I had $900. How much did I start with? b m XY

Riddle I started with some money. Every week I earned $100. After 4 weeks, I had $900. How much did I start with? b m XY $500 4 * 100 Gained $ – 400 Started with $500

Write the equation of the linear relationship with: m: 100 point: (4, 900). m Y = mX + b 900 = 100(4) + b 900 = b – = b x y “DRY” Y = 100X + 500

Ex. 1: Write the equation of a line that goes through (7, 8) and has a slope of 2. Y = mX + b NEED m and b How to use (7, 8)??? Input Output NEED b!!! XY Y = 2X – 6

Ex. 1: Write the equation of a line that goes through (7, 8) and has a slope of 2. Y = mX + b How to use (7, 8)??? Input Output 8 = 2(7) + b 8 = 14 + b -6 = b Y = 2X – 6 – 14 XY

Ex. 2: Write the equation of a line with this information: slope: -5 point: (-4, 3) Y = mX + b 3 is NOT y-intercept!!! XY m

Ex. 2: Write the equation of a line with this information: slope: -5 point: (-4, 3) Y = mX + b 3 = -5(-4) + b 3 = 20 + b -17 = b Y = -5X – 17 – 20 XY m

Ex. 3: Write the equation of a line that goes through (0, 8) and has a slope of 2. Y = mX + b NEED m and b Y = 2X + 8

Ex. 3: Write the equation of a line that goes through (0, 8) and has a slope of 2. Y = mX + b NEED m and b Y = 2X + 8

Ex. 4: Write a rule from this information: m: -4 point: (8, -2) Y = mX + b -2 = -4(8) + b -2 = b 30 = b Y = -4X XY m

Ex. 5: Write an equation for a relationship with this information: m: zero. point: (-4, -6) Y = -6 The change in y when x increases by one

Ex. 6: Write an equation for a relationship with this information: m: undefined. point: (-4, -6) X = -4 The change in y when x increases by one

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