Mathematical formula to measure the slope of a line $A B$ where $A (x_{1}, y_{1})$ and $B (x_{2}, y_{2})$ are two points on a line.

\frac{x_{2} - x_{1}}{y_{2} - y_{1}}

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\frac{y_{2} - y_{1}}{x_{2} - x_{1}}

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\frac{x_{1}}{x_{2}}, \frac{y_{1}}{y_{2}}

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Solution

The correct option is B $\frac{y_{2} - y_{1}}{x_{2} - x_{1}}$
Gradient of $A B = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}$ .

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Similar questions

Q. The equation of the chord joining two points

(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 $(x_{1}, y_{1})$ and $(x_{2}, y_{2})$ is $\frac{y_{1} - y_{2}}{x_{1} - x_{2}}$ .

Q. If

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and

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are in direct proportion, then:

The vertices of a square ABCD are given as A (x $_{1}$ , y $_{1}$ ), B (x $_{2}$ , y $_{2}$ ), C (x $_{3}$ , y $_{3}$ ) and D (x $_{4}$ , y $_{4}$ ).
Which of the following will always hold true?

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Mathematical formula to measure the slope of a line AB where A(x1,y1) and B(x2,y2) are two points on a line.

The correct option is B y2−y1x2−x1Gradient of AB=y2−y1x2−x1.

Mathematical formula to measure the slope of a line $A B$ where $A (x_{1}, y_{1})$ and $B (x_{2}, y_{2})$ are two points on a line.

The correct option is B $\frac{y_{2} - y_{1}}{x_{2} - x_{1}}$
Gradient of $A B = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}$ .