Write an equation in slope-intercept form for the line with slope −5 and y-intercept 1.

1. Break Down the Problem

We need to write an equation in slope-intercept form, which is given by the formula: $y = mx + b$ where $m$ is the slope and $b$ is the y-intercept.

2. Relevant Concepts

• The slope ($m$) of the line is given as $-5$.
• The y-intercept ($b$) of the line is given as $1$.

3. Analysis and Detail

Substituting the values of $m$ and $b$ into the slope-intercept formula: $y = -5x + 1$

4. Verify and Summarize

The equation has been constructed using the provided slope and y-intercept. $y = -5x + 1$ correctly represents a line with a slope of $-5$ and a y-intercept of $1$.

Final Answer

The equation in slope-intercept form is: $y = -5x + 1$