Question

the table below represents the balance in keisha’s savings account compared to the number of weeks since january 1.

number of weeks	0	2	4	6	8

what are the slope and y - intercept of the line that models this situation?

a slope = -30; y - intercept = 875
b slope = -60; y - intercept = 875
c slope = -30; y - intercept = 935
d slope = -60; y - intercept = 935

Explanation:

Step1: Find the slope

The slope \( m \) is calculated using the formula \( m=\frac{y_2 - y_1}{x_2 - x_1} \). Let's take two points from the table, say \( (0, 875) \) and \( (2, 815) \). Then \( m=\frac{815 - 875}{2 - 0}=\frac{-60}{2}=-30 \).

Step2: Find the y - intercept

The y - intercept is the value of \( y \) when \( x = 0 \). From the table, when \( x = 0 \) (number of weeks = 0), the account balance \( y = 875 \). So the slope is - 30 and the y - intercept is 875.

Answer:

A. slope = -30; y - intercept = 875