Lesson 11 Assignment
In this assignment you are going to explore the characteristics of linear functions.
Make sure you answer all questions in the spaces provided
Part A: Finding the Answer
In this section, you are going to use the formulas for linear functions (ax + by =c and y=mx + b)
For each question, answer the question giving the clues that you used in determining your answer. You will be given two
marks – one mark for your correct clues and one mark for the correct answer.
True/False
Indicate whether the statement is true or false.
____
1. The slope of the equation y=5x+2 is 5 and the y-intercept is 2.
____
2. The equation y=
____
3. The equation 2y=4x+8 has the slope of 2 and y-intercept of 4
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4. The equation y=4 produces a horizontal line through the x value of 4.
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has a slope of 4 and a y-intercept of
.
____
5. The x intercept of the equation x+y=4 is 4.
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6. The y intercept of the equation -x+4y=8 is 2.
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7. The equation 2x+5y = 10 has the x intercept of 2 and a y intercept of 5.
Part B: Solving the Problems
In this section, you are going to use the formulas for linear functions (ax + by =c and y=mx + b)
For each question, answer the question giving the clues that you used in determining your answer. You will be given two
marks - three mark for your correct clues and one mark for the correct answer.
8. Given two points (5,2) and (-1,8) the slope is:
9. Given two points (3,7) and (-5,-9) the slope of the line is:
10. Solve for x. Round your answer to one decimal place.
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6x+7=5
11. Given the function with the slope of
and the y intercept of-3, write the equation for this
function in standard form.
12. For the graph with the points of (3,4) and (-2 and 6)
a) determine the slope of the line
b) using one point for the x and y values, and the slope you find in part a, find the value of b
in the equation y=mx + b
13. In the equation y = mx + b, the value of m is
the value of b is -3
Using these values, sketch the graph in the space provided.
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14. If the value of m = 4 and b = -3:
a) write the equation in y=mx + b form
b) what is the x-intercept for this graph
c) what is the y-intercept for this graph
d) verify your calculations by making a graph on the paper provided.
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