City Map Project:
Follow the directions below. Draw a coordinate plane on graph paper with the x & y axis labeled, along with the number lines on the axes. Show all of your work on a separate piece of paper. HIGHLIGHT your final answers. Extend all lines, unless it states otherwise.
1. Main Street runs through the points (-3, 0) and (1,-6). Write the equation of this line in slope-intercept form. Graph this street.
2. Math Blvd is parallel to Main Street. Math Blvd goes through the point (-4, 16). Write the equation of the line in slope-intercept form. Graph this street
3. Mountain Way goes through the origin. Mountain Way is perpendicular to Main St and Math Blvd.
Mountain Way is only in the first quadrant. Write the equation of Mountain Way in standard form. Graph this street.
4. Euclid Ave has an equation of y - 7 = -⅙(x - 18). Graph Euclid Ave. At what coordinates does Euclid Ave intersect Mountain Way?
5. Pythagoras Park is a triangular shaped park made up of the 3 line segments. It's the intersections of the lines ×= 5, y = 15, and the line segment between the points (5, 20) and (15, 15). Write the equation of the 3rd side in point-slope form. Draw and shade the Park green.
6. If the length of each square on the graph paper is 1¼ mile, what would be the area (in square miles) of Pythagoras Park?
7. Polygon Way starts at (1,-6) and is parallel to Mountain Way. It ends at (-11,-14). What is the equation of the Polygon Way in standard form? Draw this street.
8. Linear Lane runs through the end of Polygon Way with an undefined slope. What is the equation of this line?
Draw the street.
9. Hexagon Run starts at (-12, 7). It is perpendicular to Polygon Way and the road stops at the intersection with Polygon Way. What are the coordinates of this intersection?
10. Write the equation of Hexagon Run in slope-intercept form. Draw Hexagon Run.