Find the Slope of the Line: 5x-7y-9 = 0.

In order to find the slope of the straight line given by the equation 5x – 7y – 9 = 0, we must transform it to the form y = kx + b.

Let’s move the terms without y to the right side of the equation, and leave the terms with y on the left.

And we get the equation:

-7y = 9 – 5x;

We divide both sides of the equation by -7 and thereby get rid of the coefficient in front of the variable y:

y = (9 – 5x): (-7);

y = 5 / 7x – 9/7;

y = 5 / 7x – 1 2/7.

y = kx + b.

The slope in this equation is 5/7.

Answer: k = 5/7.