Question

find the slope of straight line passing through the point (3,4) and( 7,-6)

Answer 1

Answer:

find the slope of straight lines passing through the point (3,-4), (7,-6)

Answer 2

The slope of straight line passing through the point (3,4) and( 7, - 6) is - 5/2

Given :

The points (3,4) and( 7, - 6)

To find :

The slope of straight line passing through the point (3,4) and( 7, - 6)

Concept :

For the given two points A (x₁ , y₁) & B(x₂ , y₂)

The slope of the line AB is

$\displaystyle \sf{ = \frac{y_2 - y_1}{x_2 - x_1} }$

Solution :

Step 1 of 2 :

Write down the given points

Here the given points are (3,4) and( 7, - 6)

Step 2 of 2 :

Calculate slope of straight line passing through the point (3,4) and( 7, - 6)

We know that the slope of the line passing through the point (x₁ , y₁) & B(x₂ , y₂)

$\displaystyle \sf{ = \frac{y_2 - y_1}{x_2 - x_1} }$

Hence slope of straight line passing through the point (3,4) and( 7, - 6)

$\displaystyle \sf = \frac{ - 6 - 4}{7 - 3}$

$\displaystyle \sf = \frac{ - 10}{4}$

$\displaystyle \sf = - \frac{ 5}{2}$

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