Book C

Consider the linear relationship between two variables. The slope–intercept form is commonly written as $y = mx + b$.

$$ y = mx + b $$

(1.1)

Equation (1.1) describes a straight line with slope $m$ and intercept $b$.

Figure 1.1 — Graph of the linear function $y = mx + b$.

As shown in Figure 1.1, increasing the value of $m$ results in a steeper line.

$$ \begin{aligned} Ax &= b \\ x &= A^{-1}b \end{aligned} $$

(1.2)

Equation (1.2) represents the solution of a linear system when the matrix $A$ is invertible.

$$y=mx+b$$