Answer: y = x + 8 OR y - 7 = (x + 1)
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, (-1, 7) (-7, 1), 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)
= (7 - 1) ÷ (-1 - (-7))
= 6 ÷ 6
= 1
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, 7):
⇒ y - 7 = (x + 1)
we could also transform this into the slope-intercept form ( y = mx + c)
since y - 7 = (x + 1)
y = x + 1 + 7
⇒ y = 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.
