Question

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

Answer 1

The line to graph is y=-
`(2)/(3)` -1

Explanation:

In order to graph the line, it needs to be in slope-intercept form. We can make an equation in slope intercept form by using the point-slope form, which is y-y₁=m(x-x₁).

1. Plug info into point-slope form:

y-(-5)=-
`(2)/(3)`(x-6)

2. Simplify:

y+5=-
`(2)/(3)` x+4

3. Simplify even further:

y=-
`(2)/(3)` -1

To graph the line, make a point a (0,-1). From here, go down 2 points and to the right 3 points. Continue the pattern and connect the points with a line.