Question

Find the slope of the line passing through the points
(1, 1) and (4, -8)
olm
1​

Answer 1

Answer:

-3

Step-by-step explanation:

Slope of line passing through any two points (x1, y1) and (x2, y2) is given by

SLOPE(m) =

$\frac{y2 - y1}{x2 - x1}$

In our question our two points are (1,1) and (4,-8)

implies x1=1 ,y1=1, x2=4, y2=-8

so slope of the line by using our formula is

slope(m) =

$\frac{ - 8 - 1}{4 - 1}$

=

$\frac{ - 9}{3}$

=-3

THEREFORE SLOPE OF THE LINE PASSING THROUGH (1,1) and (4,-8) IS -3.

I hope you are satisfied by my answer.

Answer 2

SOLUTION

TO DETERMINE

The slope of the line passing through the points

(1, 1) and (4, -8)

CONCEPT TO BE IMPLEMENTED

For the given two points $\sf{A( x_1 , y_1) \: \: and \: \: B( x_2 , y_2)}$

The slope of the line AB

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

EVALUATION

Here the given points are (1, 1) and (4, -8)

Hence the required slope of the line

$\displaystyle \sf = \frac{ - 8 - 1}{4 - 1}$

$\displaystyle \sf = \frac{ - 9}{3}$

$\displaystyle \sf = - 3$

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