Use the following pair of points to find the slope, midpoint, distance between the points and the equation of the line containing the two points. use (2, 4) and (-3, 9)

QUESTION 1

Let and .

The slope is given by the formula;

We substitute the values into the formula to get;

Simplify;

The slope is;

QUESTION 2

Let and .

The midpoint is given by the formula;

Put these values into the formula to get;

The midpoint is

QUESTION 3

Let and .

The distance between the two points can be calculated using the formula;

.

We substitute the values to obtain;

.

Simplify;

The distance is .

QUESTION 4

Let and .

The equation can be found using the point-slope formula given by;

, where is the slope.

We plug in the values to get;

We expand the bracket to get;

The equation of the line is;

6mm^3 or .6cm^3

      216

      /   \

  36     6

  /   \     /

6     6   6

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