How do you write an equation in standard form given point (-5,4) and slope -4?

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Answer 1 · 2016-07-21T20:50:16

#y = -4x -16" "# is the equation of the line.

There is a nifty formula which you can use in a case exactly like this where you have a point #(x_1, y_1)# and the slope, #m#

#y-y_1 = m(x-(x_1)# with #m = -4 and (-5, 4)#

Substitute the values...

#y-4 = -4(x-(-5))#

#y-4 = -4(x+5)" multiply out and simplify"#

#y = -4x -20+4#

#y = -4x -16# is the equation of the line.