What is the point-slope form equation for the line that passes through the point (-1, 1) and has a slope of -2?

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Answer 1 · 2017-01-06T13:58:56

#(y - color(red)(1)) = color(blue)(-2)(x + color(red)(1))#

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 point and slope from the problem gives:

#(y - color(red)(1)) = color(blue)(-2)(x - color(red)(-1))#

#(y - color(red)(1)) = color(blue)(-2)(x + color(red)(1))#