Find the slope of any line parallel to the line passing through G(2,-3) and H(-1,4).
I believe the answer is 7/-3, but was wondering if it should be written
7 7
- / or / ?
3 -3
7/-3 = -7/3 = -(7/3)
makes no difference, some textbooks and authors stay away from having negatives in the denominator.
Thank you
To find the slope of a line passing through two points, you can use the formula:
slope = (y2 - y1) / (x2 - x1)
Given the points G(2, -3) and H(-1, 4), we can substitute the values into the formula:
slope = (4 - (-3)) / (-1 - 2)
slope = (4 + 3) / (-1 - 2)
slope = 7 / -3
The slope is indeed 7 / -3.
Now, regarding how to write it, both representations you provided are correct:
Option 1: 7 / -3
Option 2: 7 7
- / or /
In Option 1, 7 is divided by -3, resulting in a negative fraction.
In Option 2, both numerator (7) and denominator (-3) are shown, and -3 is represented below the fraction line as -3.
Both representations convey the same information. You can choose the one that you find more convenient or follow the convention used in your math class or textbooks.