Lesson 12 graphing linear equations test
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.