Answer:
y - 2.5 = 2(x - 1)
Explanation:
Here given slope is 2 and the point through which the straight line passes is (1, 2.5)
Let the equation be y = mx + c where m and c represent slope and y intercept respectively.
We know the slope, so we input that in our equation
y = 2x + c ------- i
This straight line also passes through (1, 2.5)
Putting the values in place of x and y we get,
2.5 = (2X1) + c
⇒ 2.5 = 2 + c
⇒ c = 2.5 - 2
⇒ c = 0.5
Now, putting value of c in i, we get
y = 2x + 0.5 -------- ii
It can also be written as y - 2.5 = 2(x - 1) ------- iii
this equation and ii are same and you can verify that by simplifying iii, by multiplying 2 and then shifting the -2.5 from LHS to RHS