Question

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

Explanation:

Step1: Extract points from the graph

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

Step2: Find slope $m$

Calculate using two points: $m=\frac{y_2-y_1}{x_2-x_1}=\frac{5-4}{1-0}=1$

Step3: Find y-intercept $b$

Use $x=0$, $y=4$, so $b=4$

Step4: Write linear equation

Substitute $m=1, b=4$ into $y=mx+b$
$y = x + 4$

Answer:

Completed Table (x, y):

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

Equation:

$y = x + 4$