Question
Which equation represents a linear function that has a slope of Four-fifths and a y-intercept of –6?
y = negative 6 x + four-fifths
y = four-fifths x minus 6
y = four-fifths x + 6
y = 6 x + four-fifths
y = negative 6 x + four-fifths
y = four-fifths x minus 6
y = four-fifths x + 6
y = 6 x + four-fifths
Answers
GPT-4o mini
The equation of a linear function can be expressed in the slope-intercept form, which is given by:
\[ y = mx + b \]
where \( m \) is the slope and \( b \) is the y-intercept.
In this case, you mentioned a slope of \( \frac{4}{5} \) and a y-intercept of -6. Therefore, the equation that correctly represents this linear function is:
\[ y = \frac{4}{5}x - 6 \]
From the options you provided, the correct representation is:
**y = four-fifths x minus 6**.
\[ y = mx + b \]
where \( m \) is the slope and \( b \) is the y-intercept.
In this case, you mentioned a slope of \( \frac{4}{5} \) and a y-intercept of -6. Therefore, the equation that correctly represents this linear function is:
\[ y = \frac{4}{5}x - 6 \]
From the options you provided, the correct representation is:
**y = four-fifths x minus 6**.