Question

Points a and b have coordinates (7, - 3 )and( 1, 9) respectively find 1. the value of p if( - 2, p) lies on it



Tomorrow is my ICSE maths board exam please solve it fast

Answer 1

pls check this answer

Answer 2

The value of p is 15.

Step-by-step explanation:

It is given that points a and b have coordinates (7, - 3 )and( 1, 9) respectively.

The equation of line is

$y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)$

$y-(-3)=\dfrac{9-(-3)}{(1-7)}(x-7)$

$y+3=\dfrac{12}{-6}(x-7)$

$y+3=-2(x-7)$

$y+3=-2x+14$

$y=-2x+14-3$

$y=-2x+11$

The equation of line is y=-2x+11.

It is given that ( - 2, p) lies on it.

Substitute x=-2 and y=p in the above equation.

$p=-2(-2)+11$

$p=4+11$

$p=15$

Therefore, the value of p is 15.

#Learn more

The line joining (2,3) and (0,3) passes through  

1) (0,0)

2) (3,3)

3) (3,2)

4) (0,2)

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