Given, equation of the line is y = mx + c

And, it passes through the points (1, 4)

So, the point will satisfy the line equation

⇒ 4 = m x 1 + c

4 = m + c

m + c = 4 … (i)

Also, the line passes through another point (-2, -5)

So,

5 = m (-2) + c

5 = -2 m + c

⇒ 2m – c = 5 …(ii)

Now, on adding (i) and (ii) we get

3m = 9

⇒ m = 3

Substituting the value of m in (i), we get

3 + c = 4

⇒ c = 4 – 3 = 1

Therefore, m = 3, c = 1