Question

How do you write an equation of a line given (−2, −7), m = 1?

Answer 1

See a solution process below:

Explanation:

We can use the point-slope formula to write an equation for the line. The point-slope formula states: `(y - color(red)(y_1)) = color(blue)(m)(x - color(red)(x_1))`

Where `color(blue)(m)` is the slope and `color(red)(((x_1, y_1)))` is a point the line passes through.

Substituting the slope and values from the point in the problem gives:

`(y - color(red)(-7)) = color(blue)(1)(x - color(red)(-2))`

`(y + color(red)(7)) = color(blue)(1)(x + color(red)(2))`

Or

`y + color(red)(7) = x + color(red)(2)`

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

`y + 0 = x - 5`

`y = x - 5`