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QR with endpoints Q(0, 5) and R(6, 7).

1 Answer

5 votes

Answer:

(1/3)x + 5.

Explanation:

To find the equation of the line that passes through the points Q(0, 5) and R(6, 7), you can use the same approach:

1. Calculate the slope (m) using the formula:

m = (y2 - y1) / (x2 - x1)

Given Q(0, 5) and R(6, 7):

m = (7 - 5) / (6 - 0) = 2 / 6 = 1/3

2. Use one of the points (let's use Q: x1 = 0, y1 = 5) and plug it into the point-slope form:

y - 5 = (1/3)(x - 0)

Simplify the equation:

y - 5 = (1/3)x

3. Add 5 to both sides:

y = (1/3)x + 5

So, the equation of the line passing through Q(0, 5) and R(6, 7) is y = (1/3)x + 5.

User Brandon Clark
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