Answer:
[tex]y=\frac{1}{2}x-2[/tex]
Step-by-step explanation:
To write the equation of a line, you need a slope and a point. Then substitute them into the point slope form and simplify.
The slope can be found using the slope formula and substituting (-6,-5) and (-4,-4) into it:
[tex]m = \frac{y_2-y_1}{x_2-x_1} = \frac{-5--4}{-6--4} =\frac{-5+4}{-6+4} =\frac{-1}{-2}=\frac{1}{2}[/tex]
The slope is 1/2. Using (-4,-4) write the equation in [tex]y-y_1=m(x-x_1)[/tex].
[tex]y --4 = \frac{1}{2}(x--4)\\y+4 = \frac{1}[2](x+4)\\y+4=\frac{1}{2}x+2\\y=\frac{1}{2}x-2[/tex]
