Show that the point A(-1.5,3) B(6,-2) C(-3,4) are collinear?

Question

Answer

The area of triangle will be 0...So the pionts will be coolinear...Just use area of triangle formula..Rebel u apply the formula... Thn u tell to me.... I'm right I knew it.

Answer

Yeah ... their will b no triangle form ....as the area =0 .....u can apply the formula of area of triangle here

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Ryt manoj bhai

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Yrs

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Maximum of the question solve Mahi Mahajan so a lot of thanks u

Answer

Introduction:

To determine if the points A(-1.5, 3), B(6, -2), and C(-3, 4) are collinear, we need to check if they lie on the same straight line. Collinear points are those that can be connected by a single straight line.

Method:

To verify if A, B, and C are collinear, we can calculate the slope of the line passing through any two of the given points. If the slopes are equal, then the points are collinear.

Calculating the Slope:

We will calculate the slopes of lines AB and BC, and check if they are equal.

1. Slope of line AB:
- Let's consider points A and B.
- The formula for calculating the slope between two points (x1, y1) and (x2, y2) is given by:
Slope = (y2 - y1) / (x2 - x1)
- Substituting the coordinates of A and B:
Slope of AB = (-2 - 3) / (6 - (-1.5)) = -5 / 7.5 = -2/3

2. Slope of line BC:
- Let's consider points B and C.
- Substituting the coordinates of B and C:
Slope of BC = (4 - (-2)) / (-3 - 6) = 6 / -9 = -2/3

Comparing the Slopes:

The slopes of lines AB and BC are both equal to -2/3. Therefore, the points A, B, and C are collinear.

Conclusion:

Based on the calculations, we have determined that the points A(-1.5, 3), B(6, -2), and C(-3, 4) are collinear. The slopes of lines AB and BC are both equal to -2/3, indicating that the points lie on the same straight line.

Answer

Thank you edurev buddies

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