A function has an initial value of −1 and a slope equal to 3. What is it in linear equation form?

Answer 1

To express a linear function in the form of a linear equation, we can use the slope-intercept form, which is given by:

\[ y = mx + b \]

where:

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

Given that the slope \( m = 3 \) and the initial value (y-intercept) \( b = -1 \), we can substitute these values into the equation:

\[ y = 3x - 1 \]

Thus, the linear equation representing the function is:

\[ y = 3x - 1 \]