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Lines, Lines, Lines!!! ~ Slope-Intercept Form Lines, Lines, Lines!!! ~ Slope-Intercept Form The meaning of Variables in a line

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Introduction A Line is composed of an infinite number of points puts together. All points fit the pattern of a single formula. There are several ways we could write the formula: Standard Form Standard Form Point-Slope Form Slope-intercept Form

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Slope intercept form is: Our goal is to define each line where the y is alone on one side of the equation.

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These equations are all in Slope-Intercept Form: Notice that these equations are all solved for y.

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When an equation is in slope-intercept form: What is the slope? ____________ Now look at the equation below…… What is the intercept? ____________

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2y + 26 = -6x Step 1: Subtract both sides by 26 Step 2: Divide both sides by 2 to get y by itself Step 3: Simplify all fractions Now Try this Convert to Slope-Intercept Form What is the slope? ____________ What is the intercept? ____________

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When an equation is in slope-intercept form: b = y-intercept. This constant helps us identified where to begin our graph. We start our graph on this number of the y-axis. The y-intercept tells us that the line crosses the y- axis at this point. m = slope. This constant is always the coefficient of the x variable. It helps us find all of the remaining points of the line

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On the next three slides we will graph the three equations: using their y-intercepts and slopes.

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1. Plot the y-intercept as a point on the y-axis. The constant b = 1, so the y- intercept = Plot more points by counting the slope up the numerator and to the right denominator. The coefficient m = 2, so the slope = 2/1. up 2 right 1 up 2 right 1

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1. Plot the y-intercept as a point on the y-axis. The constant b = -4, so the y- intercept = Plot more points by counting the slope up the numerator and right the denominator. The coefficient m = -1, so the slope = -1/1. right 1 down 1 right 1 down 1

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1. Plot the y-intercept as a point on the y-axis. The constant b = -7, so the y- intercept = Plot more points by counting the slope up the numerator and to the right denominator. The coefficient m = 5/3, so the slope = 5/3. right 3 up 5 right 3 up 5

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Graph the following equations: They look different but they are not different. Before we can graph them, it is always best to set them us in the Slope-intercept Form: y = mx + b

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The constant b = 8 is the y-intercept. The coefficient m = 3/2 is the slope.

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The constant b = 1 is the y-intercept. The coefficient m = 9/7 is the slope. Or

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The constant b = -3 is the y-intercept. The coefficient m = -6/5 is the slope.

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The new modified equations are: Now you will have a much easier time graphing these equations… Now your turn to graph…

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Student Activity You will now receive a worksheet. Turn the worksheet in when completed.

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Do Not Disturb Work In Progress

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