Mathematics: Given two points on a line, (4,2) and (6, −8), write the equation of that line in Slope Intercept Form.

Given two points on a line, (4,2) and (6, −8), write

only1kariyah

26.09.2021

y= -5x +22

Step-by-step explanation:

Slope-intercept form

y= mx +c, where m is the slope and c is the y-intercept.

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

$slope = \frac{2 - ( - 8)}{4 - 6}$

$m = \frac{2 + 8}{ - 2}$

$m = \frac{10}{ - 2}$

m = - 5

y= -5x +c

To find the value of c, substitute a pair of coordinates into the equation.

When x= 4, y= 2,

2= -5(4) +c

2= -20 +c

c= 2 +20

c= 22

Thus, the equation of the line is y= -5x +22.

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leahmitch612

19.07.2020

Tiana

Step-by-step explanation:

It is Tiana because she took less time while practicing.

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