A line has a slope of


3 and a y-intercept of 12. Write its equation in slope-intercept form.
Write your answer using integers, proper fractions, and improper fractions in simplest form.

1 answer

The equation of a line in slope-intercept form 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 \(-3\) and the y-intercept \( b \) is \(12\), we can substitute these values into the formula:

\[ y = -3x + 12 \]

So, the equation of the line in slope-intercept form is:

\[ y = -3x + 12 \]