is called the slope-intercept form of the equation of a
straight line.
1. Find the slope of the line passing through the given two points. Sketch the graph of each line.
a. (-5, 2) and (1, 3)
b. (-1, 6) and (-1, 7)
c. (3, 5) and (-3, 5)
d. (0, 0) and (-2, 7)
2. Determine, without graphing, which of the three sets of ordered pairs represents a line. Explain how you made that determination.
a.
|
x |
1 |
2 |
3 |
4 |
5 |
|
y |
1 |
5 |
9 |
13 |
17 |
b.
|
x |
1 |
2 |
3 |
4 |
5 |
|
y |
-1 |
-6 |
-9 |
-15 |
21 |
c.
|
x |
1 |
2 |
3 |
4 |
5 |
|
Y |
-3 |
-6 |
-9 |
-12 |
-15 |
3.
Explain why is called the slope-intercept form of the equation of a
straight line.
4.
Without computing points, find the slope of the line whose equation is
.
5. Graph a line with slope 3 which passes through the point (0, -2), then write its equation.
6.
Find the equation of the line that contains the point
and has slope 
.
7. Graph the two points (1, -3) and (-4, 5), then find the equation of the line which passes through these two points.
8. If (- 4, 11), (2, -4), and (6, n) are coordinates of points on the same line, determine n.
9. An antique clock was worth $350 2 years after purchase and $530 5 years after purchase. If y represents the value of the clock x years after purchase:
a. Find a linear equation that relates y to x.
b. Find what the clock will be worth after 7 years.
c. Interpret the slope and the y intercept in the context of the problem.
10.
Explain how the two-point formula
can be derived from the point-slope formula.