Question

Find the slope of a
line parallel to (6,3) and (-4,5)​

Answer 1

Given :

1. The coordinates as -

• A(6,3)
• B(-4,5)

To find :

• Slope of a line parallel

Solution :

The slope of any line parallel to other line is equal to the slope of the given line .

Formula for slope of a line is given by:

$\tt slope = \dfrac{ y}{x} = \dfrac{ y_{2} - y_{1} }{ x_{2} - x_{1} }$

Here ,

$\tt {x_1 = 6\ ,\ x_2= -4} \\ \\ \tt{y_1 = 3\ ,\ y_2 = 5}$

Using these values in the formula :

$\rm slope = \dfrac{5 - 3}{ - 4 - 6} \\ \\ \rm = \frac{2}{ - 10} \\ \\ \boxed{ \therefore\rm slope \: = - 0.2 \: units}$

Hence , the slope of the line parallel to (6,3) and (-4,5) is -0.2 units .

Answer 2

Answer:

Given :

(6,3) , (-4,5)

slope formula :

$= \frac{y2 - y1}{x2 - x1}$

$x1 = 6 \: \:y1 = 3 \\ x2 = - 4 \: \: y2 = 5$

$= \: \frac{5 - 3}{ - 4 - 6}$

= 2/-10

Hope it helps

#ravalika Rajula

: )