 What is the equation of the line, in slope- intercept form, that passes through (2, 4) and is perpendicular to 5x+7y-1=0.

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Presentation transcript:

 What is the equation of the line, in slope- intercept form, that passes through (2, 4) and is perpendicular to 5x+7y-1=0

 No talking!  No textbooks  Open notes/HW/worksheets  No sharing with your classmates  20 minute time limit

Section 1.3

 The distance, d, between the points (x 1, y 1 ) and (x 2, y 2 ) is  Derived from the Pythagorean Theorem

 Find the distance between (3, 7) and (-2, 4)

 Find the distance between (-5, 6) and (1, -1)

 The midpoint of a line segment with the endpoints (x 1, y 1 ) and (x 2, y 2 ) is  Average the x’s and average the y’s

 Find the midpoint of the line segment with endpoints (-3, 5) and (7, -9)

 Find the midpoint of the line segment with endpoints (-1, -2) and (3, 4)

 A circle is the set of all points in a plane that are equidistant from a fixed point, called the center.  The center is at (h, k)  The fixed distance from the circle’s center to any point on the circle is called the radius.  The radius is r.

 Center at (h,k)  Radius = r

 Write the standard form of the equation of the circle with center (3, -4) and radius 5.

 Write the standard form of the equation of the circle with center (-2, 1) and radius 6.

 Page 148 #1-37 every other odd

 The endpoints of a line segment are located at (4, -5) and (-2, -7). a) Find the length of the line segment (distance between the endpoints). b) Find the midpoint of the line segment.

1. Find the center. 2. Graph the center. 3. Find the radius, r. 4. Count out from the center r units in each direction (up, down, right, left) and plot a point. 5. Draw a circle around those 4 points (try to make it look more like a circle than Mr. Szwast’s circles)

 Give the center and radius of the circle described by the equation below and graph it

 Given x 2 + Dx, we can create a perfect square trinomial by dividing D by 2, squaring it, and adding it  Can complete the square for x’s and y’s separately  Remember that whatever you add to one side, you must add to the other side

 Complete the square and write the equation in standard form. Then give the center and radius of the circle and graph the equation.

 Page 148 #1-37 Every Other Odd  Page 149 #41-57 Every Other Odd