If the gradient of the line joining (4, a) and (7, 5) is 2. Find the value of a.

a = -1

Step-by-step explanation:

If the gradient of the line joining (4, a) and (7, 5) is 2 it means that

m = 2

so we use the gradient formula to calculate the value of a because both these points line on the same line so we can use these two points to calculate our gradient and then equate it like this,

now since the gradient is 2 we replace m with the number 2

it becomes like this ,