Question

Write the equation of the line in slope-intercept form.

y=−5x−1

−5x−y=−1

y=−5x+1

y=5x+1

Answer 1

The equation of the line in slope-intercept form is given by the format \(y = mx + b\), where \(m\) is the slope and \(b\) is the y-intercept.

From the options you provided, let’s analyze them:

1. \(y = -5x - 1\) (Correct form, slope \(m = -5\), y-intercept \(b = -1\))
2. \(-5x - y = -1\) (Not in slope-intercept form)
3. \(y = -5x + 1\) (Correct form, slope \(m = -5\), y-intercept \(b = 1\))
4. \(y = 5x + 1\) (Correct form, slope \(m = 5\), y-intercept \(b = 1\))

Based on this analysis, the equation in slope-intercept form from your options is:

1. \(y = -5x - 1\)

If you need to select a single equation that accurately represents a line in slope-intercept format, that would be the one above.