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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.

Upward Bound Math and Science

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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.

• Find x