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# 2.4 Notes - that is vertical and passes through(2,1 Slide 6...

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Slide 1 Equations of Lines College Algebra Section 2.4 Slide 2 Slope Recall that the slope of the line passing  through the points (x 1 , y 1 ) and (x 2 , y 2 ) is  given by 1 2 1 2 x x y y m - - = Slide 3 Slope- Intercept Form of a Line If  m is the slope of a line and (0,  b ) is  the  y -intercept of the line, then the  equation of the line is given by y =  m x +  b. Write the equation of the line with  slope of 4/ 5 and y-intercept (0,2).

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Slide 4 Point-Slope Form of a Line Find t he equation of the line with slope 3  that passes through the point (1,-2). Use the Point-Slope Form  of the Line y – y 1 =  m(x – x 1 ) where ( x 1 , y 1 ) is a point on the line. Slide 5 Examples Write the equation of the line and put you r  answer in slope-intercept form that passes through the points (2,1) and ( -3,4) that is horizontal and passes through (2,1)
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Unformatted text preview: that is vertical and passes through (2,1) Slide 6 What do you need to write the equation of a line? A point on the line. The slope of the line. ALWAYS!! Slide 7 Parallel/ Perpendicular Two lines are parallel if they have equal slopes. Two lines are perpendicular if their slopes are negative reciprocals . Write the equation of a line that passes through the point ( -1,2) that is parallel to the line 2x + 3y = 5. perpendicular to the line 2x + 3y = 5. Slide 8 Directions for # 47 on Page 238 Do part (c) first and use it to do part (b). Part (a) is optional, but good practice. Make sure you state the correlation coefficient and state what it tells you about your regression line....
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