# 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.)

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#### Solution Summary

Step by step solutions to all the problems is provided.

graph straight line and inequality in xy-plane

1.) Graph 3x + y = 5, showing the intercept coordinates.

2.) Make a graph of the line that goes through ( - 1,4) and has slope of - 2/3.

3.) Graph the inequality y < - 2x + 1

4.) Graph the inequality - x > 70 - y

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