A is the point with coordinate (2,10) B is the point with coordinate (5,d)
The gradient of the line AB is 4
Work out the value of d

d = 22

Step-by-step explanation:

Substitute given slope and A to the equation y = mx + b to find b

y= mx + b

10 = 4.2 +b

10 = 8 + b

10 - 8 = 8 - 8 + b

b = 2

Then we have y = 4x + 2 when we substitute b and m.

They give x value of point B, we can plug it in and find y value which is d in this question.

y = 4x + 2

y = 4.5 +2

y = 22

Therefore, d = 22

the 2 figures are congruent bc if you reflect abcd over the y axis then over the d axis the figures overlap