Two sidewalks in a park are represented by lines on a coordinate grid. Two points on each of the lines are shown in the tables. Sidewalk 1

x

y

2

7

0

3

Sidewalk 2

x

y

1

5

3

3

Write the equation for Sidewalk 1 in slope-intercept form.

Write the equation for Sidewalk 2 in point-slope form and then in slope-intercept form.

Is the system of equations consistent independent, coincident, or inconsistent? Explain.

If the two sidewalks intersect, what are the coordinates of the point of intersection? Use the substitution method and show your work.

Titus works at a hotel. part of his job is to keep the complimentary pitcher of water at least half full and always with ice. when he starts his shift, the water level shows 4 gallons, or 128 cups of water. as the shift progresses, he records the level of the water every 10 minutes. after 2 hours, he uses a regression calculator to compute an equation for the decrease in water. his equation is w –0.414t + 129.549, where t is the number of minutes and w is the level of water. according to the equation, after about how many minutes would the water level be less than or equal to 64 cups?