24.4k views
0 votes
Write an equation that is parallel to y = 3x - 6 and passes through the coordinates (3, 2).

a) y = 3x + 5
b) y = 3x - 5
c) y = 2x + 3
d) y = 2x - 3

1 Answer

3 votes

Final answer:

To find an equation that is parallel to y = 3x - 6 and passes through the coordinates (3, 2), we need to keep the slope the same but change the y-intercept. The equation that fulfills these requirements is y = 3x - 7.

Step-by-step explanation:

To find an equation that is parallel to y = 3x - 6 and passes through the coordinates (3, 2), we need to keep the slope the same but change the y-intercept. The slope of the given equation is 3, so the slope of the parallel equation will also be 3. By substituting the values (3, 2) into the equation y = 3x + b, we can solve for the y-intercept:

2 = 3(3) + b

b = 2 - 9

b = -7

Therefore, the equation that is parallel to y = 3x - 6 and passes through the point (3, 2) is y = 3x - 7.

User GeoO
by
8.6k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories