your little brother is saving money. After one week he saves $1.75 after six weeks he has three dollars saved. Write a linear equation and slope intercept formed to model the situation.

1. Use the points \((1, 1.75)\) and \((6, 3.00)\) to calculate the slope \(m\):

m = \frac{3.00 - 1.75}{6 - 1}
m = \frac{1.25}{5}
m = 0.25

2. Substitute the slope \(m = 0.25\) and the point \((1, 1.75)\) into the slope-intercept form \(y = mx + b\) to find \(b\):

1.75 = 0.25(1) + b
1.75 = 0.25 + b
b = 1.75 - 0.25
b = 1.50

3. Write the final equation in slope-intercept form:

y = 0.25x + 1.50

Answer: y = 0.25x + 1.50