Question

find slope of line which passes through the points A(2,4) and B (5,7)​

Answer 1

Answer:

$\large\boxed{\sf{1}}$

Step-by-step explanation:

It's given that a line passes through the points,

• A = (2,4)
• B = (5,7)

Clearly, we have to find the slope of the line.

Let, the slope of line is 'm'

We know that, if a line passes through two points (a,b) and (c,d) ,

Then, the slope of the line is given by formula,

• $\large \boxed{ \sf{\frac{d - b}{c - a} }}$

Therefore, We get,

$\sf{= > m = \frac{7 - 4}{5 - 2} } \\ \\ \sf{ = > m = \frac{3}{3} } \\ \\ \sf{= > m = 1}$

Hence, slope of line = 1

Answer 2

So, the slope of the line is 1.

Given:

A(2,4) and B (5,7).

To find:

The slope passes through the points.

Solution:

It is given that a line is passing through the points,

A = (2,4)

B = (5,7)

Let, the slope of the line is x.

We know that, if a line passes through two points (a,b) and (c,d), then, the slope of the line is given as follows-

$x = \frac{d - b}{c - a}$

Here d=7,b=4,c=5 and a=2.

So, we can write-

$x = \frac{7 - 4}{5 - 2} \\ x = \frac{3}{3} \\ x = 1$

The value of x is 1.

So, the slope of the line is 1.

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