Question

BIG IDEAS MATH

#14 i
Write a linear function f with f(5) = -1 and f(0) = -5.
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Answer 1

To write a linear function that satisfies the given conditions, substitute the given x and y values into the slope-intercept form of a linear equation.

Step-by-step explanation:

To write a linear function with f(5) = -1 and f(0) = -5, we can use the slope-intercept form of a linear equation, which is y = mx + b. Here, 'm' represents the slope and 'b' represents the y-intercept.

Given f(5) = -1 and f(0) = -5, we can substitute these values into the equation to find the slope:

-1 = 5m + b

-5 = 0m + b

By solving these two equations, we get m = 4/5 and b = -5. Therefore, the linear function is f(x) = (4/5)x - 5.

Learn more about Writing linear functions