The slope of a line joining the points x 1- y 1 and x 2- y 2 is y 1- y 2- x 1- x 2-A- TrueB- False

The correct option is A True The slope of a line joining the points (x_1, y_1) and (x_2, y_2) is y_2 y_1/x_2 x_1= (y_1 y_2)/ (x_1 x_2)=y_1 y_2/x_1 x_2. Hence t ...

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Byju's Answer

Standard X

Mathematics

Slope of a Line

The slope of ...

Question

The slope of a line joining the points $(x_{1}, y_{1})$ and $(x_{2}, y_{2})$ is $\frac{y_{1} - y_{2}}{x_{1} - x_{2}}$ .

True

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False

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Solution

The correct option is A
True

The slope of a line joining the points $(x_{1}, y_{1})$ and $(x_{2}, y_{2})$ is

$\frac{y_{2} - y_{1}}{x_{2} - x_{1}} = \frac{- (y_{1} - y_{2})}{- (x_{1} - x_{2})} = \frac{y_{1} - y_{2}}{x_{1} - x_{2}}$ .

Hence the given statement is True.

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Similar questions

Midpoint of the line joining the points ( $x_{1}, y_{1}$ ) and ( $x_{2}, y_{2}$ ) is $(\frac{x_{1} + x_{2}}{2}, \frac{y_{1} + y_{2}}{2})$ .

Q. What is the slope of the line joining the points

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and

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Q. What is the slope of the line joining the points

(x_{1}, y_{1})

and

(x_{2}, y_{2})

Midpoint of the line joining the points ( $x_{1}, y_{1}$ ) and ( $x_{2}, y_{2}$ ) is $(\frac{x_{1} + x_{2}}{2}, \frac{y_{1} + y_{2}}{2})$ .

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(x_{1}, y_{1})

and

(x_{2}, y_{2})

on the rectangular hyperbola

x y = c^{2}

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The slope of a line joining the points (x1,y1) and (x2,y2) is y1−y2x1−x2.

The correct option is A True The slope of a line joining the points (x1,y1) and (x2,y2) is y2−y1x2−x1=−(y1−y2)−(x1−x2)=y1−y2x1−x2. Hence the given statement is True.

The slope of a line joining the points $(x_{1}, y_{1})$ and $(x_{2}, y_{2})$ is $\frac{y_{1} - y_{2}}{x_{1} - x_{2}}$ .

The correct option is A
True

The slope of a line joining the points $(x_{1}, y_{1})$ and $(x_{2}, y_{2})$ is

$\frac{y_{2} - y_{1}}{x_{2} - x_{1}} = \frac{- (y_{1} - y_{2})}{- (x_{1} - x_{2})} = \frac{y_{1} - y_{2}}{x_{1} - x_{2}}$ .

Hence the given statement is True.