Question

Help me do this question :)

Answer 1

`y = (1)/(8)x -7`

Explanation:

• Slope formula:
  `y=mx+b`
• m = slope
• 
  `m=(y_2-y_2)/(x_2-x_1)`

Find the slope using (8, -6) and (-8, -8):

`m=(-8-(-6))/(-8-8) \\\\m=(-8+6)/(-8-8) \\\\m=(-2)/(-16)\\\\m=(2)/(16)\\\\m=(1)/(8)`

`y=mx + b\\\\y = (1)/(8)x + b`

Now, we use either of our points (8, -6) OR (-8, -8) to find b.

I will be using (8, -6):

`y = (1)/(8)x + b\\\\-6=(1)/(8)(8) + b\\\\-6=1+b\\\\-1 \ \ -1\\\\-7=b`

`y = (1)/(8)x + b== > y = (1)/(8)x -7`

Check your answer manually: (-8, -8)

`y = (1)/(8)x -7\\\\-8 = (1)/(8)(-8) -7\\\\-8=-1-7\\\\-8=-8`

This statement is correct.

*You can also view the attached graph to verify the answer, meaning that those two points should lie on the same line.*

Hope this helps!