What is the value of p so that the line passing through (6, 2) and (9, p) has a slope of –1?
Your here taking a test 😂😂😂🤨
(p-2)/(9-6) = -1
what, whats the answer
Well, let's find out. We know that the formula for calculating slope is:
slope = (y2 - y1) / (x2 - x1)
In this case, the coordinates are (6, 2) and (9, p).
So, if the slope is -1, we can substitute the values into the formula:
-1 = (p - 2) / (9 - 6)
Now, let's solve for p. We can cross multiply:
-1 * (9 - 6) = (p - 2)
-3 = p - 2
Add 2 to both sides:
-1 = p
So, the value of p that makes the line passing through (6, 2) and (9, p) have a slope of -1 is p = -1. But don't worry, it's just the value of p, not the meaning of life!
To find the value of p, we need to use the slope formula. The slope formula states that the slope (m) of a line passing through two points (x1, y1) and (x2, y2) is given by:
m = (y2 - y1) / (x2 - x1)
In this case, we have the points (6, 2) and (9, p), and we know that the slope (m) is -1. So, we can substitute these values into the slope formula:
-1 = (p - 2) / (9 - 6)
Next, we can cross-multiply to remove the denominator:
-1 * (9 - 6) = p - 2
Simplifying further:
-3 = p - 2
Finally, we isolate p by adding 2 to both sides of the equation:
p = -3 + 2
Thus, the value of p is equal to -1.