Question

The line through A( - 2, 3) and B( 4, b) is perpendicular to the line 2x + 4y = 5. Find the value of b

Answer 1

Answer:

39

Step-by-step explanation:

According to question,

AB is perpendicular to 2x + 4y = 5.

• To find the slope of 2x + 4y = 5

=> 2x + 4y = 5

=> 4y = 5 - 2x

=> y = (-2/4)x + (5/4)

=> y = - (1/2)x + (5/4)

Result: slope of 2x + 4y =5 is -1/2

So, let slope of AB be m,

=> Slope of AB * Slope of 2x + 4y = 5 will be - 1

=> m * (-1/2) = - 1

=> m = 2

=> Slope of AB = 2

=> ( 3 - b ) / ( - 2 - 4 ) = 6

=> 3 - b = 6( - 6 )

=> - b = - 36 - 3

= > b = 39