How do you write the point slope form of an equation for a lint that passes through (1,-3) with m=-5/8?

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Answer 1 · 2017-01-29T00:04:58

#(y + color(red)(3)) = color(blue)(-5/8)(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.

The problem has provided the slope and a point so we can substitute to obtain:

#(y - color(red)(-3)) = color(blue)(-5/8)(x - color(red)(1))#

#(y + color(red)(3)) = color(blue)(-5/8)(x - color(red)(1))#