How do you write the equation in point slope form given m=-4 and point (2,7)?

1 Answer
smendyka
Jan 10, 2017

#(y - color(red)(7)) = color(blue)(-4)(x - color(red)(2))#

Explanation:

Given the slope and a point on the line we can use the point-slope formula to write the equation for the line having these attributes.

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 the slope from the problem gives the equation of the line as:

#(y - color(red)(7)) = color(blue)(-4)(x - color(red)(2))#

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