Question

You can retry this question below If f(x) is a linear function, f(−3)=4, and f(5)=3, find an equation for f(x) f(x)=?

Answer 1

To find the equation for f(x), we need to determine the slope of the line represented by the linear function. Using the given information, we can calculate the slope and then use the point-slope form of a linear equation to find the equation for f(x).

Step-by-step explanation:

To find the equation for f(x), we need to determine the slope of the line represented by the linear function. The slope is given by the difference in y-coordinates divided by the difference in x-coordinates. Using the given information, we can calculate the slope:


`Slope = (f(5) - f(-3)) / (5 - (-3)) = (3 - 4) / (5 + 3) = -1 / 8`ear equation. Let's use the point (5, 3) and the slope of -1/8:

`y - y1 = m(x - x1)\\y - 3 = (-1/8)(x - 5)\\y - 3 = (-1/8)x + 5/8\\y = (-1/8)x + 5/8 + 3\\y = (-1/8)x + 29/8`