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Solve Algebra 10 exercises on pages 41, 42 - Function y = ax+b
Exercise 1 (Math Textbook 10 pages 41, 42)
Solution:
Exercise 2 (Math Textbook 10 page 42)
Determine a, b for the graph of the function y = ax + b to pass through the points
Solution:
a) Substitute coordinates A, B into the function equation y = ax + b, we get:
=> Function equation: y = -5x + 3
b) Substitute coordinates A, B into the function equation y = ax + b, we get:
=> Function equation: y = -x + 3
c) Substitute coordinates A, B into the function equation y = ax + b, we get:
=> Function equation y = -3
Exercise 3 (Math Textbook 10 page 42)
Write the equation y = ax + b of the lines:
a) Passing through two points A (4;3) and B (2;-1)
b) Passing through point A (1;-1) and parallel to Ox
Solution:
a) Substitute coordinates A, B into the function equation y = ax + b, we get:
=> The equation of line AB is: y = 2x - 5.
b) The line parallel to Ox, so a = 0
=> The equation of this line is in the form y = b.
Moreover, the line passes through A(1;-1) => b = -1
Hence the equation of the line is: y = -1
Exercise 4 (Math Textbook 10 page 42)
Draw the graphs of the functions
Solution:
Thus, our guidance on solving Algebra 10 exercises on pages 41, 42 - Function y = ax + b has surely helped students understand better and learn how to solve exercises of this function type, alongside reinforcing their knowledge of linear functions such as: Identifying equations, plotting function graphs. From these suggestions, students can derive various solving methods based on their understanding to actively complete exercises in textbooks or similar exercises in exercise books/reference books.
And to study Mathematics well in general as well as linear functions of the form y = ax + b in particular, students not only need to grasp theoretical knowledge, practice doing as many exercises as possible, but also can refer to new solving methods from various reference materials, for example our solution to Algebra 10 exercises on pages 41, 42 - Function y = ax + b to enrich themselves with many different solving methods and find the fastest, most accurate answers.
Solve questions 1 to 4 on pages 41, 42 of Grade 10 Mathematics Textbook Volume 1
- Solve question 1 on pages 41, 42 of Grade 10 Mathematics Textbook Volume 1
- Solve question 2 on page 42 of Grade 10 Mathematics Textbook Volume 1
- Solve question 3 on page 42 of Grade 10 Mathematics Textbook Volume 1
- Solve question 4 on page 42 of Grade 10 Mathematics Textbook Volume 1
Guidance for Solving Exercises on pages 41, 42 of Grade 10 Algebra Textbook in the exercise solving section of Grade 10 Mathematics. Students can review the Solution to exercises on page 40 of Grade 10 Geometry Textbook previously solved in the previous lesson or preview the guidance for Solving Exercises on page 45 of Grade 10 Geometry Textbook to improve their understanding of Grade 10 Mathematics.
