Now we know the slope of the path of the plane but not its position.
Find the value of p so that the line passing through (p, 2) and (11, 14) has a slope of 2
5
Find the value of p so that the line passing through (p, 2) and (11, 14) has a slope of 2.
To find the value of p that makes the line passing through (p, 2) and (11, 14) have a slope of 2, we can use the formula for the slope of a line.
The slope of a line passing through two points (x1, y1) and (x2, y2) is given by the formula:
m = (y2 - y1) / (x2 - x1)
In this case, we are given the slope (m = 2) and the points (p, 2) and (11, 14). We can substitute the values into the formula to get the equation:
2 = (14 - 2) / (11 - p)
Now we can simplify the equation:
2 = 12 / (11 - p)
To solve for p, we can cross-multiply the equation:
2(11 - p) = 12
Next, distribute the 2 on the left side of the equation:
22 - 2p = 12
Now, isolate the variable by subtracting 22 from both sides of the equation:
-2p = 12 - 22
-2p = -10
Finally, divide both sides of the equation by -2 to solve for p:
p = (-10) / (-2)
p = 5
Therefore, the value of p that makes the line passing through (p, 2) and (11, 14) have a slope of 2 is p = 5.