Ask Question

Which of the following is an equation of a line that is parallel to y = 4 x + 9? (Choose all correct equations.)

y = 2 x + 9

y = 4 x - 7

12 x - 3 y = 6

- 20 x + 5 y = 45

+1
Answers (1)
  1. 30 May, 20:31
    0
    The second, third and fourth are parallel to the given equation

    Step-by-step explanation:

    In order to determine if the slopes are the same, put all of the equations in slope-intercept form: y = mx + b. In order for lines in this form to be parallel, the m values of each have to be the exact same number, in our case, 4. Equation 2 has a 4 in the m position, just like the given, so that one is easy. Equation 2 is parallel.

    Let's solve the third equation for y:

    12x - 3y = 6 so

    -3y = - 12x + 6 and

    y = 4x - 2. Equation 3 is parallel since there is a 4 in the m position.

    Let's solve the fourth equation for y:

    -20x + 5y = 45 so

    5y = 20x + 45 and

    y = 4x + 9. Equation 4 is also parallel since there is a 4 in the m position.
Know the Answer?
Not Sure About the Answer?
Find an answer to your question 👍 “Which of the following is an equation of a line that is parallel to y = 4 x + 9? (Choose all correct equations.) y = 2 x + 9 y = 4 x - 7 12 ...” in 📗 Mathematics if the answers seem to be not correct or there’s no answer. Try a smart search to find answers to similar questions.
Search for Other Answers