Upward Bound Math and Science

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# Upward Bound Math and Science - PowerPoint PPT Presentation

Upward Bound Math and Science . PRECALCULUS. Slope of Line . The Slope of a Line is give by the formula Find the slope of the line (-1,4) and (2,-2). Positive Slopes go uphill. Negative slopes go downhill . Equation of Line.

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### Upward Bound Math and Science

PRECALCULUS

Slope of Line
• The Slope of a Line is give by the formula
• Find the slope of the line (-1,4) and (2,-2)
Equation of Line
• The equation of line when one point on the line and slope is given by the formula

y-y1=m(x-x1)

Where

(x1,y1) are the point and m is the slope

Problem
• Find the equation of the line passing through the point (4,-3) with slope of -3
Distance between two points
• The distance between two points on the coordinate plane is given by the formula
Problem
• Find the distance between ( -1,23) and (23,-1)
Problem
• Solve Cos2q+Cosq = 0
• Hint : Cos2q = 2Cos2q-1
Problems
• A ladder leans against a building.  The foot of the ladder is 6 feet from the building.  The ladder reaches a height of 14 feet on the building.
• Find length of the ladder towards the nearest foot
• Find the angle between the ladder and building
Problems
• From a point on the ground 25 feet from the foot of a tree, the angle of elevation of the top of the tree is 32º.  Find to the nearest foot, the height of the tree.
Problems
• The figure shown on the left is a trapezoid.  Using the information given, find the area of this trapezoid to the nearest square unit.
Problems
• In the figure on the left, ABCD is a rectangle whose perimeter is 30.   The length of BE is 12.  Find to the nearest degree, the measure of angle E.
Problems
• Find x