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Instructions: Answer questions and show all your work! Please remember to show ALL of your work on every problem. 1) Sketch graph of 6 x +3 y=15 by...

1) Sketch graph of -6x+3y=15 by plotting ordered pair solutions.

2) Find the value of y so that the line through the points (-2,8)and (1,y) has the slope of -2/3.

3) Given the function 2x-y=8 find the following:

a. X-intercept

b. Y- intercept

c. Slope

4) Determine whether each pair of lines are parallel, perpendicular, or neither. State the reason.

a. y=3x-19  and   3x-y=8

b. 2x-y=7   and   y=-1/2 x+9

5) Find an equation of the line passing through the points (3,-4)and (-5,-8). Write an answer in slope-intercept format.

6) Write an equation of the line through (5,-1) and parallel to y=0. Write the equation in standard format.

7) Solve the inequality. Write the solution set using interval notation and graph the solution set on a number line: -6x+2≤2(5-x).

8) Solve the inequality. Write the solution set using interval notation and graph the solution set on a number line: 1/3 (2x-5)+5≥2/5 (x-2) .

9) Solve the compound inequality. Write the solution set using interval notation and graph the solution set on a number line: -3<2(x-4)≤5.

10) Solve the following inequality. Write the solution set using interval notation and graph the solution set on a number line: 7x-2<5   and   5x-10>5

Instructions : Answer questions and show all your work! Please remember to show ALL of your work on every problem. 1) Sketch graph of 6 x + 3 y = 15 by plotting ordered pair solutions. 2) Find the value of y so that the line through the points (− 2,8 )∧( 1, y ) has the slope of 2 3 . 3) Given the function 2 x y = 8 find the following: a. X-intercept b. Y- intercept c. Slope
Page 2 4) Determine whether each pair of lines are parallel, perpendicular, or neither. State the reason. a. y = 3 x 19 3 x y = 8 b. 2 x y = 7 y = 1 2 x + 9 5) Find an equation of the line passing through the points ( 3, 4 )∧(− 5, 8 ) . Write answer in slope-intercept format. 6) Write an equation of the line through ( 5, 1 ) and parallel to y = 0. Write the equation in standard format.
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