What is the equation of a line with a slope of -1/2 that passes through the point (6,-6)

Segment YZ has endpoints (6, 3) and (3, 9). Find the coordinates of the point that divides the line segment directed from Y to Z

fenix001 [56]

Answer:

(4, 7)

Step-by-step explanation:

The point of interest is ...

P = (2Z +1Y)/(2+1) = ((2·3+6)/3, (2·9+3)/3)

P = (4, 7)

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The point that divides the segment into the ratio a:b is the weighted average of the endpoints, with the weights being "b" and "a". The weight of the first end point corresponds to the length of the far end of the segment.

8 0

4 years ago

Read 2 more answers

A graph is shown below:

Zanzabum

The general equation of a line is expressed as y = mx + b where m is the slope of the line and b is the y-intercept. The y-intercept is the value of y when the graph crosses the y- axis. Consequently, it is the value of y when x is zero. The slope is the rate of change of y with respect to the change in x. It is calculated from the ratio of the difference of two y values and the difference of the corresponding x values. Given the points would result to a line, we can determine those elements for the line as follows:

b = 36
m = (y2 - y1) / (x2 - x1)
m = (27 - 36) / (3 -0) = -3

So, the equation of the line would be y = -3x + 36.

4 0

3 years ago

The length of a rectangle board is 10 centimeters longer than its width. The width of the board is 26 centimeters. The board is

Troyanec [42]

Answer:

Area of each piece = 104 $cm^{2}$