Algebra Workshop
Name:
Worksheet 8
1. (a) Plot the points (1, 0) and (3, 4) on the following coordinate plane. Draw the line
through these points.
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(b) Find the slope of the line.
(c) Find the equation for the line.
(d) What is the y-intercept of the line (that is, where does the line cross the y-axis)?
(e) What is the x-intercept of the line (that is, where does the line cross the x-axis)?
2. (a) Plot the points (−2, −4) and (1, 5) on the following coordinate plane. Draw the line
through these points.
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(b) Find the slope of the line.
(c) Find the equation for the line.
(d) What is the y-intercept?
(e) What is the x-intercept of the line?
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3. Consider the following line:
3
2
1
1
(a) What is the slope of the line?
(b) What is the y-intercept of this line?
(c) What is the x-intercept of the line?
(d) What is the equation for the line?
3
2
3
4. Find the equations for the lines through the given points:
(a) (2, 1) and (4, 7)
(b) (3, 7) and (4, 9)
(c) (3, 4) and (7, 4)
(d) (−1, 3) and (−1, 8)
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5. At age 3, little Jimmy was 3 feet tall. By age 5, he had grown to 3 feet 5 inches.
(a) Assume that Jimmy’s height is linearly related to his age. Write an equation for
his expected height at age x (in inches). (Hint: First convert everything to inches.
There are 12 inches in one foot.)
(b) How tall do you expect Jimmy to be at age 9?
(c) At what age do you expect Jimmy to be 6 feet tall?
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