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.