Answer: slope = - ⁵/₄
Step-by-step explanation:
The question gives us two points, (-6,-3) and (-2,-8), 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)
= (-8 - (- 3)) ÷ (-2 - (-6))
= - ⁵/₄
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 - (-3) = - ⁵/₄(x - (-6))
y + 3 = - ⁵/₄ (x + 6)
To test my answer, I have included a Desmos Graph that I graphed using the information provided in the question and my answer.
