What is the y-intercept of the function f(x) = –x + 7?
A straight line is a figure formed when two points are connected with minimum distance between them, and both the ends extended to infinity. While straight lines have no definite beginning or end, they are represented in our day-to-day lives with examples such as railway tracks or the freeway.
Answer: The y-intercept of the function f(x) = -x + 7 is 7.
Let's find how we arrived at the solution.
We know that the y-intercept of a straight line is the portion of the graph where it cuts the y-axis.
Hence, to find the y-intercept of the given function, we find the value of f(x) at x = 0.
Hence, putting x = 0 in the given equation:
⇒ f(0) = -0 + 7
⇒ f(0) = 7