Question

What is the formula to find the slope of a line joining two points (x1, y1) and (x2, y2)?

Answer 1

Answer:

$\frac{y_2 - y_1}{x_2 -x_1}$ is the formula to find the slope of a line joining two points ($x_1, y_1$) and ($x_2 , y_2$).

Explanation:

Given that,($x_1 , y_1$) and ($x_2 , y_2$) are the points of a line.

• Slope - In mathematics, a line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction.

• Given the coordinates of two points on the line, use the slope formula to determine the slope of the line.

• The slope formula, or the ratio of the change in the y values to the change in the x values, is m= $\frac{y_2 -y_1}{x_2 - x_1}$ The initial point's coordinates are $x_1$ and $y_1$ respectively and the second points' coordinates are $x_2$, $y_2$.

Therefore, slope(m)  = $\frac{y_2 -y_1}{x_2 - x_1}$

Final answer:

Hence, $\frac{y_2 - y_1}{x_2 -x_1}$ is the formula to find the slope of a line joining two points ($x_1, y_1$) and ($x_2 , y_2$).

#SPJ3

Answer 2

Answer:

$m = \frac{y_2-y_1}{x_2-x_1}$

Step-by-step explanation:

Given :-

• Points are : $( x_1, y_1) , (x_2,y_2)$

To find :- Formula to find the slope of line joining between two points .

Solution :-

1. We are being two points $(x_1, y_1) , (x_2, y _2)$ -- (1)

2. we know to find the slope between two points we use formula ,

   $m = \frac{y_2-y_1}{x_2-x_1}$ --- (2)

3. Slope is the inclination of the line .

Answer :-

$m = \frac{y_2-y_1}{x_2-x_1}$  

#SPJ3