To convert the equation \(5x + 3y = 9\) into slope-intercept form, which is \(y = mx + b\) (where \(m\) is the slope and \(b\) is the y-intercept), we need to solve for \(y\).
Starting with the original equation:
\[ 5x + 3y = 9 \]
Subtract \(5x\) from both sides:
\[ 3y = -5x + 9 \]
Now, divide each term by \(3\) to isolate \(y\):
\[ y = -\frac{5}{3}x + 3 \]
So the slope-intercept form is:
\[ y = -\frac{5}{3}x + 3 \]
However, it appears that the answer options you provided might have a typo or slight misunderstanding. The closest form to the correct transformation is likely:
\[ y = -\frac{5}{3}x + 3 \]
Of the provided responses, none matches exactly to the derived equation. It appears that the closest would be:
- y = −53x + 3
If we consider the notion of “−53” as a misprinted representation for “−5/3”, that could be a plausible option. Please check the source of your answers for consistency.