Questions: Write an equation in slope-intercept form for the line with slope -2 and y-intercept -4.

Write an equation in slope-intercept form for the line with slope -2 and y-intercept -4.
Transcript text: Write an equation in slope-intercept form for the line with slope -2 and $y$-intercept -4.
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Solution

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Solution Steps

Step 1: Understand the Slope-Intercept Form

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

\[ y = mx + b \]

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

Step 2: Substitute the Given Values

We are given the slope \( m = -2 \) and the \( y \)-intercept \( b = -4 \). Substitute these values into the slope-intercept form:

\[ y = -2x - 4 \]

Final Answer

The equation of the line in slope-intercept form is:

\[ \boxed{y = -2x - 4} \]

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