Question

Write a linear function with values given in the table below. x f(x) 5 −6 −1 6 3 −2 −4 12 2 0 (1 point) Responses f(x)=2x−12 f left parenthesis x right parenthesis equals 2 x minus 1 half f(x)=4x−2 f left parenthesis x right parenthesis equals 4 x minus 2 f(x)=−2x+4 f left parenthesis x right parenthesis equals negative 2 x plus 4 f(x)=−12x+2 f left parenthesis x right parenthesis equals negative 1 half x plus 2 Skip to navigation

Answer 1

To write the linear function using the given values in the table, we need to find the equation of the line that passes through the points (5, -6) and (2, 0).

First, let's find the slope of the line using the formula:

slope = (change in y) / (change in x)

slope = (-6 - 0) / (5 - 2)
slope = -6 / 3
slope = -2

Now that we have the slope, we can use the point-slope form of a linear equation:

y - y1 = m(x - x1)

Using the point (2, 0), we have:

y - 0 = -2(x - 2)

Simplifying, we get:

y = -2(x - 2)
y = -2x + 4

Therefore, the linear function is:

f(x) = -2x + 4