Answer: [tex]y=-\frac{x}{2}-6.5[/tex]
Step-by-step explanation:
First find slope m. From observing the equation we can see that there are two points on the line. They are (-5,-4) and (-1,-6). Using the formula to find slope rise/run we get m = -0.5.
Now we use the point-slope formula to start the switch to the slope-intercept formula. Using (-1,-6) as our x and y values and switching m=-0.5 we get y + 6 = -0.5 ( x + 1). Simplify and we get y + 6 = -x/2 - -0.5. Subtract 6 from both sides and the final equation is y = -x/2 - 6.5.
