Answer: slope = - ³/₇
Step-by-step explanation:
The question gives us two points, (-7,2) and (21,-10), 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)
= (2 - (- 10)) ÷ (-7 - 21)
= - ¹²/₂₈
= - ³/₇
Checking my answer:
We can use the slope we found and a point to write the equation of a line. If the line passes through both points, then we calculated the slope correctly.
We can now use the point-slope form (y - y₁) = m(x - x₁)) to write the equation for this line:
⇒ y + 10 = - ³/₇ (x - 21)
To test my answer, I have included a Desmos Graph that I graphed using the information provided in the question and my answer.
