Answer:
y = -5x + 5
Explanation:
Let the equation of the line be: y = ax + b.
The given points should satisfy the equation.
Substituting the points in the equation we get the values of 'a' and 'b'.
The first point is: (1,0)
⇒ 0 = a(1) + b ⇒ 0 = a + b
⇒ b = -a
(2, -5) is another point. Substituting this we have:
-5 = a(2) + b = 2a - a = a
⇒ a = -5
⇒ b = -a = 5.
Therefore, the equation of the line becomes y = -5x + 5.