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Graphing lines and inequalities

Thanks for all your help... I have understood the process on the previous elements.. the graphing is still giving me a hard time...

1) Complete the table of values for y = x/3 - 2

x || 0 | 3 | 6 .
y = x/3 - 2 || | |

2) Draw the graph of the inequality for x - y < 3

#3) For the equation 6x - 3y = 12 identify (find) the

x - Intercept

y - Intercept

#4) From the following graph. Calculate the slope of the line.

#5) Using your answer in question 4 write the equation for the curve in problem #4

#6) Given the equation 5x - 2y = 10 . Determine the slope and y intercept for this equation.

#7) By an appropriate method determine whether the lines through each pair of points are parallel. To receive credit for this problem make sure to explain your reasoning.

Pair one; (0, -1) and (1, 2)
Pair two; (2,-1) and (1,1)

#8) For the line with the slope of -2 and passing through (1, -2) write the equation of the line in slope-intercept form. Using the template, plot the graph of the line.

#9) Calculate the slope of the line passing through the points (3,-4 ) and (-2, -1 ).

#10) Given the two lines -2x + 3y = 6 and y = - 3x/2 + 2 . Are these line a) parallel, b) intersecting, or c) intersecting and perpendicular to each other. Give the reason for your answer and show your work. (Note: While plotting the graphs of the lines may be helpful, this problem can not be solved by plotting the graphs but must be solved analytically.)

Solution Summary

Step by step solutions to all the problems is provided.

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