What is the slope of the line passing through the following points: #(-3,-2),(-4, 1) #?

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Answer 1 · 2015-12-02T10:48:41

#y=-3x-11#

If you know two points of a line with coordinates #(x_1,y_1)# and #(x_2,y_2)#, then the equation for the line is

#\frac{x-x_2}{x_1-x_2} = \frac{y-y_2}{y_1-y_2}#

Plug your values:

#\frac{x+4}{-3+4} = \frac{y-1}{-2-1}#

#x+4 = \frac{y-1}{-3}#

#-3(x+4)=y-1#

#-3x-12=y-1#

#y=-3x-11#