1. What is the slope of any line parallel to the line 8x+9y=3 in the standard (x,y) coordinate plane?
F. -8
g. -8/9
h. 8/3
j. 3
k. 8
2. Which of the following is the slope of a line parallel to the line y=2/3-4 in the standard (x,y) coordinate plane?
A. -4
B. -3/2
C. 2
D.32
E. 2/3
answer all
1. The slope of the line 8x+9y=3 can be found by rearranging the equation into slope-intercept form y = mx + b, where m is the slope. So, 9y = -8x + 3, y = -8/9x + 1/3. Therefore, the slope of the line is -8/9. Therefore, any line parallel to this line will also have a slope of -8/9. Therefore, the answer is g. -8/9.
2. The slope of the line y=2/3x-4 is 2/3. Therefore, any line parallel to this line will also have a slope of 2/3. Therefore, the answer is E. 2/3.