What ordinate does the point C (-1; y) have, which belongs to the same straight line as the points A (-5; 2), B (-3; -1)
September 29, 2021 | education
| We have two points: A (-5; 2) and B (-3; -1).
To begin with, we write the equation of a straight line passing through these points, substituting the values of their coordinates into the formula for the straight line y = k * x + b. We obtain and solve a system of two equations with two unknowns:
2 = -5 * k + b;
-1 = -3 * k + b;
Let us subtract the first from the second equation of the system by the method of algebraic addition:
-1 – 2 = 2 * k;
2 * k = -3;
k = -3/2;
b = 2 + 5 * k = 2 – 15/2 = -11/2;
y = -3/2 * x – 11/2 – equation of a straight line.
Substitute the coordinates of the third point:
y = -3/2 * (-1) – 11/2 = 3/2 – 11/2 = -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.