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The equation of line p is y= 1 4 x–8. Line q, which is parallel to line p, includes the point (6, – 3). What is the equation of line q?

2 Answers

6 votes
Answer: y = 14x - 81.

Explanation:
1. Since the lines are parallel to each other, that means they have the same slope, which is 14.
2. To find the equation of line q, you would need to use the point-slope equation, which is y2 - y1 = m (x2 - x1) and input the values of point (6, -3).
3. The equation you need to solve after inputting values would be y + 3 = 14 (x - 6).
4. Simplify the equation by distributing 14 into the parentheses. This would give you y + 3 = 14x - 84.
5. Now, subtract 3 on both sides to get the y alone. This should give you y = 14x - 81.
User Clamentjohn
by
6.9k points
4 votes

Answer:

The equation of line q in slope-intercept form is

y= 1/4 x– 9/2

.

Explanation:

User Jithu
by
7.5k points