Answer: y - 6 = -10 (x - 1) OR y = - 10 x + 16
Step-by-step explanation:
For us to write the equation for this line, we need to (1) find the slope of the line, and (2) use one of the points to write an equation:
The question gives us two points, (2,-4) & (1,6), 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)
= (-4 - 6) ÷ (2 - 1)
= - 10 ÷ 1
= - 10
Finding the Equation
We can now use the point-slope form (y - y₁) = m(x - x₁)) to write the equation for this line; where (x₁ , y₁) = (1, 6):
⇒ y - 6 = -10 (x - 1)
we could also transform this into the slope-intercept form ( y = mx + c)
since y - 6 = -10 (x - 1)
y - 6 = -10 x - 10 (-1)
⇒ y = - 10x + 16
To test my answer, I have included a Desmos Graph that I graphed using the information provided in the question and my answer.
