Answer:
The line to graph is y=-[tex]\frac{2}{3}[/tex] -1
Step-by-step 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)=-[tex]\frac{2}{3}[/tex](x-6)
2. Simplify:
y+5=-[tex]\frac{2}{3}[/tex] x+4
3. Simplify even further:
y=-[tex]\frac{2}{3}[/tex] -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.