The equation of the line parallel to the first line is y = 3 · x - 9. (Correct choice: B)
In this question we must derive the equation of the line for a given street and look for another equation of the line parallel to the previous one. Lines are first order polynomials of the form y = m · x + b, where m and b are the slope and the y-intercept, respectively.
Now we present the procedure in detail. First, find the equation of the first line:
5 = 4 · m₁ + b₁ (1)
2 = 3 · m₁ + b₁ (2)
(m₁, b₁) = (3, - 7)
Second, determine the equation of the line parallel to the line found in the previous step: (Please notice that two lines are parallel to each other when they share the same slope but have different y-intercepts)
- 3 = 3 · 2 + b₂
b₂ = -3 - 6
b₂ = - 9
The equation of the line parallel to the first line is y = 3 · x - 9. (Correct choice: B)
To learn more on equations of the line: https://brainly.com/question/2564656
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