Question

How do you find the slope and intercept of `5x+y=12`?

Answer 1

See a solution process below:

Explanation:

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(red)(5)x + color(blue)(1)y = color(green)(12)`

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

The slope for this line is: `m = -color(red)(5)/color(blue)(1) = -5`

The `y`-intercept of an equation in standard form is: `color(green)(C)/color(blue)(B)`

The `y`-intercept for this line is: `color(green)(12)/color(blue)(1) = 12` or `(0, 12)`