Answer: y = x - 1
Step-by-step explanation:
Find the slope of the parallel line
When two lines are parallel, they have the same slope.
⇒ if the slope of this line = 1
then the slope of the parallel line (m) = 1
Determine the equation
We can now use the point-slope form (y - y₁) = m(x - x₁)) to write the equation for this line: (5, 4)
⇒ y - 4 = 1 (x - 5)
∴ y - 4 = x - 5
We can also write the equation in the slope-intercept form by making y the subject of the equation and expanding the bracket to simplify:
since y - 4 = x - 5
y = x - 1
To test my answer, I drew a Desmos Graph with the information provided in the question and my answer.
