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**Quick Graphs Using Slope-Intercept Form**

Algebra 1 Section 4.6 Quick Graphs Using Slope-Intercept Form

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Important!!! This is a big concept in Algebra 1. You need to thoroughly understand this! Slope – Intercept Form y = mx + b m represents the slope b represents the y-intercept

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Writing Equations When asked to write an equation, you need to know two things – slope (m) and y-intercept (b).

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**Example 1: Writing Equations**

Write an equation in slope-intercept form of the line that has a slope of 2 and a y-intercept of 6. To write an equation, you need two things: slope (m) = y – intercept (b) = We have both!! Plug them into slope-intercept form y = mx + b y = 2x + 6 2 6

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Writing Equations Write an equation in slope-intercept form for the following:

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**y = -3x – 4 y = -4x – 3 y = -3x + 4 y = -4x + 3**

Write the equation of a line that has a y-intercept of -3 and a slope of -4. y = -3x – 4 y = -4x – 3 y = -3x + 4 y = -4x + 3

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To find the slope and y-intercept of an equation, write the equation in slope-intercept form: y = mx + b. Find the slope and y-intercept. y = 3x – 7 y = mx + b m = 3, b = -7

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**Find the slope and y-intercept.**

2) y = x y = mx + b y = x + 0 3) y = 5 y = 0x + 5 m = b = 0 m = 0 b = 5

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**Find the slope and y-intercept. 4) 5x - 3y = 6**

m = b = -2

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**Find the slope and y-intercept. 5) 2y + 2 = 4x**

Write it in slope-intercept form. (y = mx + b) 2y + 2 = 4x 2y = 4x – 2 y = 2x - 1 m = 2 b = -1

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**Find the slope and y-intercept of y = -2x + 4**

m = 2; b = 4 m = 4; b = 2 m = -2; b = 4 m = 4; b = -2

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**Example 2: Graphing Using Slope and y-Intercept**

When given an equation, you can easily graph it in slope-intercept form. All you need is two things– the slope (m) and y-intercept (b).

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**Graphing Using Slope and y-intercept**

Step 1: Make sure the equation is in slope-intercept form Step 2: Find the slope and y- intercept Step 3: Plot the y-intercept Step 4: Apply the slope (rise/run) to the y-intercept

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**Review: Graphing with slope-intercept**

-3 1 -3 Start by graphing the y-intercept (b = 2). From the y-intercept, apply “rise over run” using your slope. rise = 1, run = -3 Repeat this again from your new point. Draw a line through your points. 1 Start here

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**Graph: Step 1: y=mx+b Step 2: slope = 2 y-intercept = 3**

Step 3: plot the y-intercept on a graph Step 4: apply the slope

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**Graph the following equations:**

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**Homework: Complete Study Guide for Chapter 4 due Tuesday, November 19th**

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