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How do you write the point slope form of the equation given (-4,-5) and slope 1/4?

1 Answer

Jan 20, 2017

#(y + color(red)(5)) = color(blue)(1/4)(x + color(red)(4))#

Explanation:

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 values from the problem gives:

#(y - color(red)(-5)) = color(blue)(1/4)(x - color(red)(-4))#

#(y + color(red)(5)) = color(blue)(1/4)(x + color(red)(4))#

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