2 Answers

Chen Xing · Answer 1 · 2023-10-24T08:45:46+0000

We know that the equation of the line is in the form
y=-(2)/(3)x+b . To find b, we can use the fact that (6,-5) lies on the line, meaning that both sides of the equation are equal when x=6 and y=-5.

$-5=-(2)/(3)(6)+b\\-5=-4+b\\b=-1$

Hence, the equation of the line is
y=-(2)/(3)x-1 , and its graph looks something like follows.

Graph a line that contains the point (6, -5) and has a slope of -2/3.-example-1

Graph a line that contains the point (6, -5) and has a slope of -2/3.-example-2

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