# Geometry: Linear and Quadratic Equations ```Algebra 2: Linear and Quadratic Equations
Name_________________________
Worksheet #1 – SHOW ALL WORK TO RECEIVE FULL CREDIT!
1
1. a) Identify the y-intercept of y  x  2
3
y
1
b) Identify the slope of y  x  2
3
1
c) Graph y  x  2
3
x
d) Name 2 methods to graph this function.
3. If y  4 then x  _____
4. Find where the line crosses the
x-axis algebraically.
5. Find x and y intercepts of the line
with equation 2x  3y  15
6. Using the grid above, graph the line
in problem 5
7. Change 2x  3y  15 into
slope-intercept form
8. Find where the two lines intersect
using substitution method.
9. Find the area of the triangle
bounded by the two lines and the
x-axis.
1
10. Change y  x  2 into standard
3
form.
2. If x  1 then
y  _____
11. Find where the parabola
y  x 2  2x  3 intersects the
x-axis
12. Give the coordinates of the vertex
13. Using the grid below, sketch the
graph of the parabola in #11
14. If x  4 then
15. If y  3 then x  ____
16. Using the grid below, graph the
line y  x  3
y  ____
17. Use substitution method to find where the parabola and line intersect
You should be solving an equation and your answer should be in point form