Question

a) find slope m = 1/1 = 1
b) find y - int b = 3
c) y = mx + b y = 1x + 3

Explanation:

Step1: Analyze the graph for slope

To find the slope \( m \), we can use two points on the line. Let's take the points \((-1, 2)\) and \((0, 3)\) (from the graph). The slope formula is \( m=\frac{y_2 - y_1}{x_2 - x_1} \). Plugging in the values: \( m=\frac{3 - 2}{0 - (-1)}=\frac{1}{1} = 1 \).

Step2: Find the y - intercept \( b \)

The y - intercept is the point where the line crosses the y - axis. From the graph, the line crosses the y - axis at \((0, 3)\), so \( b = 3 \).

Step3: Write the equation of the line

The slope - intercept form of a line is \( y=mx + b \). Substituting \( m = 1 \) and \( b = 3 \), we get \( y=1x+3 \) or \( y=x + 3 \).

Answer:

a) Slope \( m = 1 \)
b) y - intercept \( b = 3 \)
c) Equation of the line \( y=x + 3 \)