Mathematics: Line k passes through (2, -3) and (8,1). which equation represents a line that is parallel to k? a. y = -2/3 x - 5/3 b. y = 2/3 x - 13/3 c. y = 3/2 x - 6 d. y = -3/2 x

Line k passes through (2, -3) and (8,1). which equation

IsoSaysHi

15.01.2022

B. y = 2/3 x - 13/3

Step-by-step explanation:

two lines are said to be parallel if they have the same slope.

To find the slope of line K we will use the formula fro calculating slope which is :

m = $\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

$x_{1}$ = 2

$x_{2}$ = 8

$y_{1}$ = -3

$y_{2}$ = 1

substituting into the values into the formula , we have :

m = $\frac{1-(-3)}{8-2}$

m = $\frac{4}{6}$

m = $\frac{2}{3}$

Therefore : the slope of line K = $\frac{2}{3}$ , this means that any line that will be parallel to K must have a gradient of $\frac{2}{3}$ .

The only line that has a gradient of $\frac{2}{3}$ is the line y = 2/3x - 13/ 3 ,this means that the line is parallel to Line K

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edgartorres5123

06.01.2020

5=1/2x -y

Step-by-step explanation:

just move y and y-intercept, put variables on same side

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