LET IT SNOW
Directions: It’s that time of year again, and like the song says, “Let it snow, let it snow, let it snow!” We will use the bulletin board to sharpen our skills in finding the distance between two points, the slope of a line, the equation of a line, and also the distance between a point and a line. Complete the following questions by using the numbered information flaps located on the bulletin board. Open the flaps to access the information needed to answer the questions. Complete the worksheet and hand it in to the teacher. The worksheet will count as a quiz grade. Have fun, bundle up, and stay warm because just like the song also says, “Baby it’s cold outside!”
1. Determine the distance between the big snowman, Chilly, and his little friend, Glacier.
2. Find the distance between the two evergreen trees.
3. Determine the slope of the mountain.
4. State the equation of the line consistent with the mountain. Use the point-slope form of a line.
5. Find the distance between Chilly and the mountain.
1. Glacier and Chilly are sitting on the same line; that is, their points are collinear. Glacier is at point (-5, 6 ) and Chilly is at point ( -1, -7 ).
2. The two evergreen trees are planted on the same line; that is, their points are collinear. One of the trees is at point ( -3, 1 ) and the other tree is at point ( 5, 4 ).
3. Two points which lie on the mountain are ( -4, 8 ) and ( 4 , -8 ).
4. Use the slope you calculated in Question #3 and one of the points that lie on the mountain to write the equation of the line consistent with the mountain.
5. To find the distance, use the equation you wrote in Question #4 and use the point where Chilly is sitting…
( -1, -7 ). The formula for the distance from point
(x1 , y1 ) to line Ax + By + C = 0 is:
d =