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QR with endpoints Q(2, 4) and R(-3, 9)

User Atomictom
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1 Answer

2 votes

Answer:

-x + 6.

Explanation:

To find the equation of the line that passes through the points Q(2, 4) and R(-3, 9), you can use the point-slope form of a linear equation:

y - y1 = m(x - x1)

Where (x1, y1) is a point on the line, m is the slope of the line.

First, calculate the slope (m) using the formula:

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

Given Q(2, 4) and R(-3, 9):

m = (9 - 4) / (-3 - 2) = 5 / -5 = -1

Now that you have the slope, choose one of the points (let's use Q: x1 = 2, y1 = 4) and plug it into the point-slope form:

y - 4 = -1(x - 2)

Simplify the equation:

y - 4 = -x + 2

Add 4 to both sides:

y = -x + 6

So, the equation of the line passing through Q(2, 4) and R(-3, 9) is y = -x + 6.

User Yong
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7.6k points

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