Question

Find the gradient of the line segment between the points (-3,2) and (-2,5).

Answer 1

SOLUTION

TO DETERMINE

The gradient of the line segment between the points (-3,2) and (-2,5)

CONCEPT TO BE IMPLEMENTED

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

The gradient of the line AB is

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

EVALUATION

Here the given points are (-3,2) and (-2,5)

So the required gradient of the line segment between the points (-3,2) and (-2,5)

$\displaystyle \sf{ = \frac{5 - 2}{ - 2 - ( - 3) } }$

$\displaystyle \sf{ = \frac{5 - 2}{ - 2 + 3 } }$

$\displaystyle \sf{ = \frac{3}{ 1 } }$

$\displaystyle \sf{ = 3}$

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Answer 2

Answer:

it is -3

Step-by-step explanation:

-3--2=-4

5-2=3

-4 divide by 3 = -3