A line with slope = 2/3 contains the point (-4, 5). Using the slope, what are two more points on that line?

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Answer 1 · 2018-06-14T01:30:01

#(0,23/3)# etc.

First solve the equation for the line:

Use the Point Slope form of a line:

#(y-color(blue)(y_1)) = color(green)m(x-color(blue)(x_1))#

#(y-color(blue)(5)) = color(green)(2/3)(x-color(blue)((-4)))#

#(y-color(blue)(5)) = color(green)(2/3)(x+color(blue)(4))#

#y-5=2/3x+8/3#

#y=2/3x+8/3+5#

#y=2/3x+8/3+15/3#

#y=2/3x+23/3#

Now plug any values for x in to solve for y for example:

#x=0# then #y=23/3#

#(0,23/3)# etc.