Question

Consider the linear equation y=b₀+b₁x.

a. Identify and give the geometric interpretation of b₀ .

b. Identify and give the geometric interpretation of b₁ .

Short answer

a. $b_0$represents the value of intersection of line and $y$axis.

b. $b_1$represents the steepness of line.

Step-by-step solution

Part(a) Step 1: Given information

We need to find the geometric interpretation of $b_0$_.

Part(a) Step 2: Explanation

The $y$-value of the point of intersection of the line and the $y$-axis is given by the integer $b_0$.

Part(b) Step 1: Given information

We need to find the geometric interpretation of $b_1$._.

Part(b) Step 2: Explanation

The value $b_1$represents the line's steepness. It calculates how much the $y$-value shifts when the $x$-value shifts by one unit.