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)

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Presentation transcript:

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 The equation of line when one point on the line and slope is given by the formula y-y 1 =m(x-x 1 ) Where (x 1,y 1 ) 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)

Angles ( Radians)

Angles ( Degrees)

Unit Circle

Trignometry

Trigonometry identities

Problem Solve Cos2  Cos  Hint : Cos2  Cos 2 

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