Question

Find the slope of the line.
3x negative 5y ​= 29
Question content area bottom
Part 1
A.minus five thirds
minus five thirds

B.three fifths
three fifths

C.five thirds
five thirds
D.minus three fifths
minus three fifths

Answer 1

To find the slope of the line given by the equation \(3x - 5y = 29\), we can rewrite the equation in slope-intercept form, which is \(y = mx + b\), where \(m\) is the slope.

Starting with the original equation:

\[
3x - 5y = 29
\]

We'll solve for \(y\) by isolating it on one side of the equation:

1. Subtract \(3x\) from both sides:

\[
-5y = -3x + 29
\]

2. Divide every term by \(-5\):

\[
y = \frac{3}{5}x - \frac{29}{5}
\]

Now the equation is in the slope-intercept form \(y = mx + b\), where \(m = \frac{3}{5}\).

Thus, the slope of the line is:

\[
\text{slope} = \frac{3}{5}
\]

Based on the given options, the correct answer is:

**B. three fifths**