Question

Find the slope of the line joining the two given points. (1). (4,-8) and (5,-2)​

Answer 1

Answer:

Slope of the line joining given 2 points = 6

Step-by-step explanation:

• Slope of a line is defined as the difference in Y coordinates divided by the difference in X coordinates.
• It can also be denoted as tan θ of the graph.

The formula for finding out the slope when coordinates are given is:

$\maltese \: \: \boxed{ \bf{Slope = \dfrac{y _{2} - y_1 }{x_2 - x_1} }}$

★ According to the question,

• x₁ = 4
• x₂ = 5
• y₁ = -8
• y₂ = -2

Substitute these values in the above formula.

$\implies \sf{Slope = \dfrac{ - 2 - ( - 8)}{5 - 4} }$

$\implies \sf{Slope = \dfrac{ - 2 + 8}{1} }$

$\implies \sf{Slope = \dfrac{6}{1} }$

$\therefore \boxed{ \underline{ \boldsymbol{Slope = 6}}}$

Answer 2

Answer:

$\green { \boxed {\bf\: slope \: \: m = 6}}$

Step-by-step explanation:

Given, two points are

$\sf \: (4 \: , - 8) \: \: and \: \: (5 \: , - 2)$

To find :

Slope (m) of the line joining the two given 2 points.

Technique:

$\sf \: if \: (x_1,y_1) \: and \: (x_2,y_2) \: \: are \: two \: points \: \\ \sf then \: slope \: of \: the \: line \: joining \: given \\ \sf \: two \: points \: is \: \\ \\ \orange{\bigstar }\: \: \pink {\boxed{\sf \: slope \: \: \: m \: = \frac{y_2 - y_1}{x_2 - x_1} }}$

According to the question,

$\sf \: x_1 = 4 \\ \sf \: x_2 = 5 \\ \sf \: y_1 = - 8 \\ \sf \: y_2 = - 2 \\ \sf$

So,

$\sf \: slope \: \: \: m = \frac{ - 2 - ( - 8)}{5 - 4} \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{ - 2 + 8}{1} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 6 \\ \\ \green { \boxed {\therefore \sf \: slope \: \: m = 6}}$