A line has a slope of

Question

1
3
and a y-intercept of
–
21. Write its equation in slope-intercept form.
Write your answer using integers, proper fractions, and improper fractions in simplest form.

Answer 1

The slope-intercept form of a linear equation is given by the formula:

\[ y = mx + b \]

where \( m \) is the slope and \( b \) is the y-intercept.

Given that the slope \( m \) is \(\frac{1}{3}\) and the y-intercept \( b \) is \(-21\), we can substitute these values into the formula:

\[ y = \frac{1}{3}x - 21 \]

This is the equation of the line in slope-intercept form.