Question

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

Answer 1

Answer:

$\boxed{x=3}$

Step-by-step explanation:

gradient = slope

Let's solve now

$\red{( - 3 \: \: \: \: \: \: 2)} = >\green{ (x1 \: \: \: \: \: y1) }\\ \red{( - 2 \: \: \: \: \: \: 5 ) }= >\green{ (x2 \: \: \: \: \: y2)}$

$\blue{slope = \frac{y1 - y2}{x1 - x2} } \\ = \frac{2 - 5}{ - 3 - ( - 2)} \\ = \frac{ - 3}{ - 3 + 2} \\ = \frac{ - 3}{ - 1} \\ = 3$

Answer 2

Answer:

-3

Solution,

Let the points be A and B

A(-3,2)------->( X1,y1)

B(-2,5)------>( x2,y2)

Now,

gradient means slope.

$slope = \frac{y2 - y1}{x2 - x1} \\ \: \: \: \: \: \: = \frac{5 - 2}{ - 2 - ( - 3)} \\ \: \: \: \: \: = \frac{ - 3}{ - 2 + 3} \\ \: \: \: \: \: = \frac{ - 3}{1} \\ \: \: \: = - 3$

Hope this helps..

Good luck on your assignment..