How do you write the equation in point slope form given (2,4) with the x intercept of -2?

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Answer 1 · 2016-02-27T02:05:28

#y-4=x-2#

Recall that the general formula for a line in point-slope form is:

#y-y_1=m(x-x_1)#

where:
#y=#y-coordinate
#(x_1,y_1)=(2,4)#
#m=#slope
#x=#x-coordinate

#1#. To determine the equation of the line with an x-intercept of #-2#, substitute your known values into the formula to find the slope.

#y-y_1=m(x-x_1)#

#0-4=m(-2-2)#

#-4=m(-4)#

#m=1#

#2#. Rewrite the equation in point-slope form.

#color(green)(y-4=x-2)#