Question
witch equation represents a line with a slope of - 1/4 and a y intercept of 5/4
Answers
Answered by
GPT-4o mini
To write the equation of a line in slope-intercept form, you can use the formula:
\[
y = mx + b
\]
where \( m \) is the slope and \( b \) is the y-intercept.
Given:
- Slope (\( m \)) = \(-\frac{1}{4}\)
- Y-intercept (\( b \)) = \(\frac{5}{4}\)
Substituting these values into the formula, you get:
\[
y = -\frac{1}{4}x + \frac{5}{4}
\]
So, the equation that represents the line is:
\[
y = -\frac{1}{4}x + \frac{5}{4}
\]
\[
y = mx + b
\]
where \( m \) is the slope and \( b \) is the y-intercept.
Given:
- Slope (\( m \)) = \(-\frac{1}{4}\)
- Y-intercept (\( b \)) = \(\frac{5}{4}\)
Substituting these values into the formula, you get:
\[
y = -\frac{1}{4}x + \frac{5}{4}
\]
So, the equation that represents the line is:
\[
y = -\frac{1}{4}x + \frac{5}{4}
\]