Write down the equation of a linear function, the graph of which passes through the points M (2; 2) and N (1; -1).
August 30, 2021 | education|
Let’s write the equation of the linear function:
y = k * x + b;
To find out the coefficients k and b, we substitute the coordinates of points M and N into this equation. We get a system of equations:
2 = k * 2 + b;
-1 = k * 1 + b.
From the first equation, we express the coefficient b:
b = 2 – 2 * k; and substitute it into the second equation:
-1 = k + 2 – 2 * k;
-1 = -k + 2;
k = 3.
Substitute k = 3 in either of the two equations:
2 = 3 * 2 + b;
b = -4.
Hence, the equation of a linear function, the graph of which passes through the points M (2; 2) and N (1; -1) y = 3 * x – 4.
One of the components of a person's success in our time is receiving modern high-quality education, mastering the knowledge, skills and abilities necessary for life in society. A person today needs to study almost all his life, mastering everything new and new, acquiring the necessary professional qualities.