Answer:
Step-by-step explanation:
The equation of a straight line is usually represented in the slope-intercept form, y = mx + c
Where c = y intercept
m = slope
We want to determine the slope of the line parallel to 2y=3x+6
Rearranging 2y=3x+6 in the slope intercept form, it becomes
2y/2 = 3x/2 + 6/2
y = 3x/2 + 3
The slope = 3/2
If two lines are parallel to each other, the their slopes are equal.
So the slope of the line parallel to 2y=3x+6 is 3/2
To determine slope of the line perpendicular to y=8x+24
Comparing y=8x+24 with the slope intercept form, y = m+ c,
Slope, m = 8
If two limes are perpendicular, then the product of the slopes is -1
Let the slope of the perpendicular line to the one given by the above equation be m1. Therefore,
8 × m1 = -1
8 m1 = -1
m1 = -1/8
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