Lesson 12 graphing linear equations test

Answer 1

1. Determine whether the following equations represent linear relationships:
a) y = 2x + 3
b) 2y = 4x - 1
c) y = x^2 - 3x + 2

2. Graph the following linear equations on a coordinate plane:
a) y = 3x - 2
b) 2y = -4x + 6
c) y = 1/2x + 4

3. Find the slope and y-intercept of the following equations:
a) y = -2x + 5
b) y = 1/3x - 2
c) y = 4x + 1

4. Solve the following system of equations using graphing:
a) y = 2x - 1
b) y = -3x + 5

5. Given the points (2, 5) and (-1, 2), write the equation of the line passing through these points.

6. Identify the x-intercept and y-intercept of the following equations:
a) y = 4x - 2
b) 2y = -6x + 12

7. Determine if the lines represented by the equations are parallel, perpendicular, or neither:
a) y = 2x + 3
b) y = -2x + 1

8. Graph the line that passes through the point (3, 4) and has a slope of 2.