Determine the equation of a line given its slope and $y$-intercept. Write in slope-intercept form.
Slope = $4$
$y$-intercept = $-2$

• A. $y=-2x+4$
• B. $y=4x+2$
• C. $y=4x-2$
• D. $y=2x-4$

Answer: (C)

Verified step by step guidance

1. Recall the slope-intercept form of a line, which is given by the equation \(y = mx + b\), where \(m\) is the slope and \(b\) is the y-intercept.
2. Identify the given slope \(m\) from the problem. Here, the slope is \(4\).
3. Identify the given y-intercept \(b\) from the problem. Here, the y-intercept is \(-2\).
4. Substitute the values of the slope and y-intercept into the slope-intercept form equation: \(y = 4x + (-2)\).
5. Simplify the equation by writing the y-intercept term properly: \(y = 4x - 2\).