Question

complete the table and write the equation for the relationship shown in the graph

Explanation:

Step1: Extract (x,y) points from graph

Points: (0,5), (1,6), (2,7), (3,8), (4,9), (5,10), (6,11), (7,12), (8,13), (9,14), (10,15), (11,16), (12,17), (13,18), (14,19), (15,20)

Step2: Calculate slope (m)

$m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{6-5}{1-0} = 1$

Step3: Identify y-intercept (b)

When $x=0$, $y=5$, so $b=5$

Step4: Write linear equation

Use $y = mx + b$

Answer:

Completed Table (x, y):

(0, 5), (1, 6), (2, 7), (3, 8), (4, 9), (5, 10), (6, 11), (7, 12), (8, 13), (9, 14), (10, 15), (11, 16), (12, 17), (13, 18), (14, 19), (15, 20)

Equation:

$y = x + 5$