How do you write an equation in point slope form given point (-2,7) with a slope of -3/5?

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Answer 1 · 2017-02-05T10:44:06

#(y - color(red)(7)) = color(blue)(-3/5)(x + color(red)(2))#

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 information from the problem gives:

#(y - color(red)(7)) = color(blue)(-3/5)(x - color(red)(-2))#

#(y - color(red)(7)) = color(blue)(-3/5)(x + color(red)(2))#