Question

What is the slope of equation `2y + 8x = 16`?

Answer 1

See a solution process below:

Explanation:

This equation can easily be put into 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

`color(blue)(2)y + color(red)(8)x = color(green)(16)`

`color(red)(8)x + color(blue)(2)y = color(green)(16)`

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

`m = -color(red)(8)/color(blue)(2) = -4`