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

1 Answer
Jun 6, 2017

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#