Question

Find the slope

Nonsense/No solution = report​

Answer 1

$\large\underline{\sf{Solution-}}$

From given graph, we concluded that line passes through the points (2, 2) and (4, - 3)

We know,

Slope (m) of a line joining two points (a, b) and (c, d) is given by

$\boxed{\tt{ \: Slope (m) \: = \: \frac{d - b}{c - a} \: }}$

So, here

$\rm \: a = 2$

$\rm \: b = 2$

$\rm \: c = 4$

$\rm \: d = - 3$

So, On substituting the values, we get

$\rm \: Slope (m) \: = \: \dfrac{ - 3 - 2}{4 - 2}$

$\rm\implies \:\rm \: Slope (m) \: = \: - \: \dfrac{5}{2}$

▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬

Additional Information

1. Slope of a line is defined as the tangent of the angle which a line makes with positive direction of x axis measured in anti-clockwise direction.

2. If a line is parallel to x axis, its slope is 0.

3. If a line is parallel to y axis, its slope is not defined.

4. Two lines having slope m and M are perpendicular iff Mm = - 1

5. Two lines having slope m and M are parallel iff m = M

6. If a line bisects the first quadrant, its slope is 1.

7. If a line bisects the second quadrant, its slope is - 1.

Answer 2

Given  :  A graph showing a line passing through points

(2 , 2)  and ( 4 , -3)

To Find : The slope

Solution:

From the graph , line is passing through the points

(2 , 2)  and ( 4 , -3)

Slope of a line passing through the points (x₁ , y₁ ) and ( x₂ , y₂) is given by :

Slope =  ( y₂ - y₁)/(x₂ - x₁)

(2 , 2)  and ( 4 , -3)

x₁ = 2 ,  y₁ = 2

x₂ = 4  , y₂ = - 3

Slope = ( - 3 - 2)/( 4 - 2)

= - 5/2

= -2.5

Slope of the line is -5/2  or -2.5

Learn More

What is the slope of the line joining the points(2,0) and(-2,0) - Brainly ...

brainly.in/question/13724435

Find the inclination of a line whose slope is: (i) 1 (ii) -1 (iii) √3 (iv ...

brainly.in/question/7293596

Find the slope of the line which makes angle of 45 degree with the ...

brainly.in/question/14126247