221k views
2 votes
Write the equation of the line passing through the points P(5,-3) and Q(1,1).​

User Edsadr
by
8.3k points

1 Answer

3 votes

Final answer:

To find the equation of the line passing through the points P(5,-3) and Q(1,1), we can use the point-slope form of a linear equation. The equation of the line is y = -x + 2.

Step-by-step explanation:

To find the equation of the line passing through the points P(5,-3) and Q(1,1), we can use the point-slope form of a linear equation. The point-slope form is y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope of the line.

First, find the slope using the formula: slope = (y2 - y1) / (x2 - x1). Plugging in the values, we get slope = (1 - (-3)) / (1 - 5) = 4 / (-4) = -1.

Now, choose one of the points (P or Q) and substitute the values into the point-slope form: y - (-3) = -1(x - 5). Simplifying the equation gives us y + 3 = -x + 5. Subtracting 3 from both sides gives the final equation: y = -x + 2.

User Garbanzio
by
7.9k 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