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Published byConrad Hunt Modified over 6 years ago

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Goal: Write a linear equation.

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1. Given the equation of the line 2x – 5y = 15, solve the equation for y and identify the slope of the line. 2. What should the slope of a second line be if that line must be perpendicular to the first line?

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Slope-Intercept Form ◦ Given the slope m and the y-intercept b, use slope- intercept form: y=mx+b Point Slope Form ◦ Given the slope m and a point (x 1, y 1 ), use point-slope form: y - y 1 = m(x - x 1 )

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Write an equation of the line that has the given slope and y-intercept. 1. m = 3 b = 1 2. m = -2 b = -4 3. m = ½ b = -5

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Write an equation of the line that passes through (4,2) and has a slope of -¼.

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Write an equation of the line that passes through (9, 2) and has a slope of – 1/3.

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Write an equation of the line that passes through the given point and has the given slope. Write your equation in slope-intercept form. 1. (-1, 3) m = 2 2. (4, -5) m = -3 3. (-2, 4) m = 5

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Write an equation of the line that passes through (- 1, 4) and is parallel to the line y = -2x + 5

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Write the equation of the line that passes through (2, 1) and is parallel to the line y = 3x + 10.

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Write an equation of the line that passes through (-1, 4) and is perpendicular to the line y = -2x + 5.

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Write an equation of the line that passes through (2, 1) and is perpendicular to the line y = 3x + 10.

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Write an equation of the line described. 1. Passes through (-6, -5); parallel to y = -x + 2 2. Passes through (-6, -5); perpendicular to y = -x + 2

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