Step-by-step explanation: ONe way of solving a system of equations is using the Gauss-Jordan Elimination.
The method consists in transforming the system into an augmented matrix, which is writing the system in form of a matrix and then into a <u>Row</u> <u>Echelon</u> <u>Form,</u> which satisfies the following conditions:
There is a row of all zeros at the bottom of the matrix;
The first non-zero element of any row is 1, which called leading role;
The leading row of the first row is to the right of the leading role of the previous row;
For this question, the matrix is a Row Echelon Form and is written as:
Substitute the given values for the parameters in the point-slope form of the equation of a line. That form is y - k = m(x - h) for point (h, k) and slope m.
You have (h, k) = (1, 2) and m=-3, so your equation is y - 2 = -3(x - 1)