Problem

Calculate the slope of a line using the equation:
\[
6 x-15 y=-2
\]

Answer

Expert–verified
Hide Steps
Answer

Final Answer: The slope of the line is \(\boxed{\frac{2}{5}}\).

Steps

Step 1 :Given the equation of the line as \(6x - 15y = -2\).

Step 2 :Rearrange the equation to the form \(y = mx + c\), where \(m\) is the slope.

Step 3 :Doing so, we get \(y = \frac{2}{5}x + \frac{2}{15}\).

Step 4 :From this, we can see that the slope of the line is \(\frac{2}{5}\).

Step 5 :Final Answer: The slope of the line is \(\boxed{\frac{2}{5}}\).

link_gpt