Maths-
General
Easy
Question
The graph of y = f (x) is a line in the xy-plane that passes through the point (0,2) and has a slope of 5. Which of the following equations could define the function f?
- f (x) = -
x + 5 - f (x) = -
x + 2 - f (x) = 2x + 5
- f (x) = 5x + 2
x + 5 x + 2The correct answer is: f (x) = 5x + 2
Hint:
Formula of a line in Point- slope form-
(y - y1) = m (x - x1)
Step-by-step solution:-
For the given point- x1= 0 & y1 = 2
Also, slope = m = 5
∴ Equation of the given line using the above mentioned formula-
(y - 2) = 5 (x - 0)
∴ y - 2 = 5 (x)
∴ y - 2 = 5x
∴ y = 5x + 2
Final Answer:
Option D i.e. y = 5x +2 is the correct Option.
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