Question

Write an equation of the line passes through the given points (6,-3),(1,2)

Answer 1

Answer:

y = -x+3

Step-by-step explanation:

First find the slope

m = ( y2-y1)/(x2-x1)

    = ( 2 - -3)/( 1 - 6)

   ( 2+3)/( 1-6)

   5/ -5

   -1

The slope is -1

We can use slope intercept form

y = mx+b  where m is the slope and b is the y intercept

y = -x+b

Substitute a point into the equation

2 = -1 +b

Add 1 to each side

2+1 = -1+1+b

3 = b

y = -x+3

Answer 2

y = -x + 3

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

$m = \frac{6 - 1 }{-3 - 2}$

$m = \frac{5 }{-5}$

$m=-1$

y = mx + b

substitute

2 = -1(1) + b

2 = -1 + b

3 = b