Homework 2:
Due Friday 6/13/14
1. The points {(−2, −5), (1, 7), (2, 11), (4, 19)} all lie on a line.
A. Draw a scatterplot of the points then draw the line that they lie on.
B. Find the slope of the line that the points lie on. Does it matter which two
points you choose? Why or why not?
C. Find the equation of the line that the points lie on. (Use whichever form you
prefer.)
D. What is the Y-intercept of the line?
E. When x = 100 what should y be?
2. What is the slope between the points (3, 4) and (3, 9)?
3. (Write-up) Consider two points (a, c) and (b, d). We wish to calculate the slope
between these two points. We can calculate the slope one way by taking
d−c
.
b−a
However, we should be able to calculate the slope a second way by taking
c−d
.
a−b
Does this give us two different slopes or are they the same? Why? [You may want to
experiment with real points on scratch paper. A simple choice would be the points (1, 3)
and (3, 9).]
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