Question

How do you find the slope and y intercept for `2x-7y=44`?

Answer 1

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

`color(red)(2)x - color(blue)(7)y = color(green)(44)`

Or

`color(red)(2)x + (color(blue)(-7)y) = color(green)(44)`

Therefore:

• The slope of the line is: `m = (-color(red)(2))/color(blue)(-7) = 2/7`

• The `y`-intercept is: `color(green)(C)/color(blue)(B) = 44/-7 = -44/7` or `(0, -44/7)`