1. Compute the slope of the line containing each pair of points.
a) (3,7) and (4,7)
b) (2,7) and (2,9)
c) (5,-3) and (1,7)
Here is what I got.
a) 0
b) undefined
c) -10/4 reduced to -5/2
Correct?
Yes, all are correct.
Good work; we hope to see you again here.
Thanks you will, just looking for validation and help on the ones i don't unsderstand. Thanks again.
Let's check your answers:
a) To find the slope of the line passing through (3,7) and (4,7), you can use the formula for slope, which is (y2 - y1) / (x2 - x1).
Using the (x1, y1) = (3,7) and (x2, y2) = (4,7), we can substitute these values into the formula:
Slope = (7 - 7) / (4 - 3)
= 0 / 1
= 0
So, the slope of the line passing through these two points is 0. Your answer is correct.
b) To find the slope of the line passing through (2,7) and (2,9), the formula for slope can be used again.
Using the (x1, y1) = (2,7) and (x2, y2) = (2,9), we can substitute the values:
Slope = (9 - 7) / (2 - 2)
Notice here that the denominator becomes zero. Dividing by zero is undefined in mathematics. Hence, the slope of the line passing through these two points is undefined. Therefore, your answer is correct.
c) To find the slope of the line passing through (5,-3) and (1,7), let's use the slope formula again.
Using the (x1, y1) = (5,-3) and (x2, y2) = (1,7):
Slope = (7 - (-3)) / (1 - 5)
= 10 / (-4)
This fraction can be reduced to -5/2.
So, your answer for c) is indeed correct.
In summary:
a) Slope = 0
b) Slope = undefined
c) Slope = -5/2
Your answers for all the parts are correct. Well done!