Question

What is the slope of a line parallel to the line 5x+3y=7?

Answer 1

See the explanation below:

Explanation:

This equation is in Standard Linear form. The standard form of a linear equation is: `color(red)(A)x + color(blue)(B)y = color(green)(C)`

Where, if at all possible, `color(red)(A)`, `color(blue)(B)`, and `color(green)(C)`are integers, and A is non-negative, and, A, B, and C have no common factors other than 1

The slope of an equation in standard form is: `m = -color(red)(A)/color(blue)(B)`

The equation is: `color(red)(5)x + color(blue)(3)y = color(green)(7)`

Therefore, the slope is:

`m = -color(red)(5)/color(blue)(3)`