Goal: Write a linear equation..  1. Given the equation of the line 2x – 5y = 15, solve the equation for y and identify the slope of the line.  2. What.

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Presentation transcript:

Goal: Write a linear equation.

 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?

 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 )

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

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

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

 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 = (-2, 4) m = 5

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

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

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

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

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