Question

3. 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
(a) Write the equation for Sidewalk 1 in slope-intercept form.
(b) Write the equation for Sidewalk 2 in point-slope form and then in slope-intercept form.
(c) Is the system of equations consistent independent, coincident, or inconsistent? Explain.
(d) If the two sidewalks intersect, what are the coordinates of the point of intersection? Use the substitution method and show your work.