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Review: Writing an equation of a line Prepare to write equations for lines of best fit on scatter plots.

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Presentation on theme: "Review: Writing an equation of a line Prepare to write equations for lines of best fit on scatter plots."— Presentation transcript:

1 Review: Writing an equation of a line Prepare to write equations for lines of best fit on scatter plots.

2 43210 In addition to level 3.0 and beyond what was taught in class, the student may:  Make connection with other concepts in math.  Make connection with other content areas. The student will construct, interpret and identify patterns of associations for bivariate data displayed in two- way tables and scatterplots. - Write equation of line-of-best-fit. And use it to make predictions. - Calculate relative frequencies and describe their meaning. The student will construct scatterplots and two-way tables from bivariate data. - Draw line-of- best-fit for scatter plot. - Identify patterns of associations. - Able to generally describe relationship of bivariate data displayed in a two-way table. With help from the teacher, the student has partial success with level 2 and 3 elements. Even with help, students have no success with investigating patterns of association with bivariate data. Focus 7 - Learning Goal #2: The student will construct, interpret and identify patterns of associations for bivariate data displayed in two-way tables and scatterplots.

3 y = mx + b Slope intercept form of an equation is the easiest equation to write. You will need two details: 1. The slope (m) 2. The y-intercept (b) Practice: 1. A line has a slope of ½ and a y-intercept of (0, 4). Write the equation of the line. y = ½ x + 4 A line has a slope of – 4 / 3 and a y-intercept of (0, -9). Write the equation of the line. y = - 4 / 3 x - 9

4 Write the equation from the graph. Use the format y = mx + b What two pieces of information do you need? Slope (m) y-intercept (b) How can you find the slope of this line? - 4 / 2 = -2 How can you find the y- intercept? (0, 0) Write the equation: y = -2x + 0 or y = -2x

5 Write the equation from the graph. Use the format y = mx + b What two pieces of information do you need? Slope (m) y-intercept (b) How can you find the slope of this line? 2 / 1 = 2 How can you find the y- intercept? (0, 2) Write the equation: y = 2x + 2

6 What is another way to find the slope of a line? Use the formula: Substitute your order pairs to find slope. Practice: Write the equation of a line that goes through the points (-2, 7) and (2, 1) and has a y-intercept of (0, 4). m = 1 - 7 2 - -2 Write the equation: y = - 3 / 2 x + 4 = -6 4 = -3 2

7 Write the equation of the line from the given information: The line contains the points (8, -3) and (2, -6 ) and has a y-intercept of (0, -7). Find the slope: m = -6 - -3 2 – 8 Write the equation: y = ½ x - 7 = -3 -6 = 1 2


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