Answer: slope = - ¹/₃
Step-by-step explanation:
The question gives us two points, (8, 4) & (2, 6), from which we can find the slope and later the equation of the line.
Finding the Slope
The slope of the line (m) = (y₂ - y₁) ÷ (x₂ - x₁)
= (6 - 4) ÷ (2 - 8)
= - ¹/₃
Checking my answer:
Finding the Equation
We can now use the point-slope form (y - y₁) = m(x - x₁)) to write the equation for this line:
⇒ y - 4 = - ¹/₃ (x - 8)
To test my answer, I have included a Desmos Graph that I graphed using the information provided in the question and my answer.
