A function has an initial value of 2 and a slope equal to −1. Any chance this can be put into linear equation form

Answer 1

Yes, you can express a function with an initial value and slope in linear equation form. The standard form of a linear equation is:

\[ y = mx + b \]

where:

• \( m \) is the slope,
• \( b \) is the y-intercept (initial value).

Given that the initial value is \( 2 \) (which corresponds to the y-intercept) and the slope is \( -1 \), you can substitute these values into the equation:

1. The slope \( m = -1 \)
2. The initial value (y-intercept) \( b = 2 \)

Therefore, the linear equation can be written as:

\[ y = -1x + 2 \]

or simply:

\[ y = -x + 2 \]

This equation represents the linear function you described.