Question

jack starts with 2 dollars in his account. he deposits the same amount of money each day. this graph represents the relationship between the number of days and the amount in the bank account. use the slope and vertical intercept to write an equation. slope = 8 vertical intercept = \square

Explanation:

Step1: Understand vertical intercept

The vertical intercept (y - intercept) is the value of \( y \) when \( x = 0 \). In the context of the problem, \( x \) represents the number of days and \( y \) represents the dollars in the account. When the number of days (\( x \)) is 0, Jack starts with 2 dollars in his account. So, we need to find the value of \( y \) when \( x = 0 \).

Step2: Determine the vertical intercept

From the problem statement, Jack starts with 2 dollars in his account when the number of days (\( x = 0 \)). Looking at the graph, when \( x = 0 \) (the y - axis), the value of \( y \) (dollars in account) is 2. So the vertical intercept is 2.

Step3: Write the equation of the line

The slope - intercept form of a line is \( y=mx + b \), where \( m \) is the slope and \( b \) is the y - intercept (vertical intercept). We know that the slope \( m = 8 \) and the vertical intercept \( b = 2 \). Substituting these values into the slope - intercept form, we get the equation \( y = 8x+2 \).

Answer:

The vertical intercept is \( 2 \) and the equation is \( y = 8x + 2 \) (where \( x \) is the number of days and \( y \) is the dollars in the account). For the vertical intercept box, the answer is \( 2 \).