2. 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 5
0 1
Sidewalk 2
x y
1 3
3 -3
(a) Write the equation for Sidewalk 1 in slope-intercept form.
(b) Write the equation for Sidewalk 2 in point-slope form and then convert to slope-intercept form.
(c) Is the system of equations consistent independent, coincident, or inconsistent? Explain.
a. Note: Review 2.11 Strange Solutions and 5.04 Classifying Systems if you’re not sure where to start.
(d) Use the substitution or elimination method to solve your system, and explain which one you picked. If the two sidewalks intersect, what are the coordinates of the point of intersection?