Question

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

Answer 1

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.

Answer 2

Step by Step Explanation: