<p> What is given?</p><p>Two points The graph One point One point and and slope another equation</p><p>Find two points Find one point If the line is If the line is and the slope parallel, use perpendicular, the same slope. use the negative reciprocal slope.</p><p>Find the slope y- y m = 2 1 x- x 2 1 Use point-slope form</p><p> y y1 = m(x – x1)</p><p>Special case: If m Write in slope-intercept form Special case: If is undefined, the y = mx + b the equation is a equation is x = x1 direct variation, one point is (0, 0).</p><p>Write in standard form (if needed) ax + by = c How do you write the equation of a line? Given Example Your Turn *****Slope and Y-intercept***** ***Slope = ¾, y-intercept = -2*** ***Slope = - ½ , y-intercept = 5*** Use the slope-intercept form of the equation: y = mx + b 3 y= x-2 Substitute for m and b. 4 *****Slope and a Point***** ***Slope = -3, Point = (-2, 4)*** ***Slope = 4, Point = (-6, -4)***</p><p>Use the point-slope form of the equation: y – y1 = m(x – x1)</p><p> y – y1 = m(x – x1) y – 4 = -3(x – -2)</p><p>Substitute for m, x1 and y1. Solve for y. *****Two Points***** *** Points are (-3, 3) and (2, -7)*** *** Points are (-11, -2) and (1, -8)*** Use the slope formula and the coordinates of the two points to find the slope.</p><p> m = rise = y2 – y1 </p><p> run x2 - x1 Use this slope and one of the given points to write the equation of the line following the ****Slope and a Point***** method above. ***Point and the Equation of a Parallel Line*** *** Point is (-6, -3) and parallel line’s *** Point is (-2, 5) and parallel line’s Solve the equation of the parallel line for y and find equation is y -2x = 6*** equation is y=3x+5*** its slope. Use this slope and the given point to write the equation of the line following the *****Slope and a Point***** method above. </p><p>**Point and the Equation of a Perpendicular Line** *** Point is (6, -4) and perpendicular *** Point is (6, -4) and perpendicular Solve the equation of the perpendicular line for y line’s equation is 4x - 2y = -6*** line’s equation is 3x + 9y = -8*** and find its slope. Use the opposite reciprocal of that slope and the given point to write the equation of the line following the *****Slope and a Point***** method above. </p>
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