Respuesta :
Answer:
2
Step-by-step explanation:
The gradient of the straight line is equal to (y2-y1)/(x2-x1), where
(x1,y1) and (x2,y2) coordinates of the points A and B which belong to the line.
So y2=2 ,x2=1-2p , y1=2+4p, x1=1
k=(2-(2+4p))/((1-2p)-1)= (2-2-4p)/(1-2p-1)= (-4p)/(-2p)=2
The gradient of the straight line joining (1, 2+4p) to (1-2p, 2) is 2 and this can be determined by using the two-point slope formula.
Given :
Points -- (1,2+4p) and (1-2p,2)
The following steps can be used in order to determine the gradient of the straight line joining (1, 2+4p) to (1-2p, 2):
Step 1 - According to the given data, the points on the straight line are (1, 2+4p) to (1-2p, 2).
Step 2 - The two-point slope formula can be used in order to determine the gradient of the straight line joining (1, 2+4p) to (1-2p, 2).
Step 3 - The two-point slope formula is given below:
[tex]\rm m = \dfrac{y_2-y_1}{x_2-x_1}[/tex]
Step 4 - Substitute the values of [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] in the above expression.
[tex]\rm m = \dfrac{2-(2+4p)}{1-2p-1}[/tex]
Step 5 - Simplify the above expression.
[tex]\rm m = \dfrac{-4p}{-2p}[/tex]
m = 2
For more information, refer to the link given below:
https://brainly.com/question/3605446
