Mathematics: The points (6, 9) and (0, 6) fall on a particular line. What is its equation in slope-intercept form?

The points (6, 9) and (0, 6) fall on a particular

jwbri

22.07.2021

$y = \frac{1}{2}x + 6$

Step-by-step explanation:

$Let \ (x _1 y _ 1 ) = ( 6 , 9 ) \ and \ (x _ 2 , y _ 2 ) \ = ( 0 , 6 )\\\\$

Step 1 : Find slope, m

$slope, m = \frac{y _ 2 - y _ 1}{x_ 2 - x_ 1 } = \frac{6 - 9}{0 - 6 } = \frac{-3}{-6} = \frac{1}{2}$

Step 2 : Find the equation

$(y - y _ 1 ) = m ( x - x_ 1) \\\\( y - 9 ) = \frac{1}{2} (x - 6 ) \\\\y = \frac{1}{2}x - 3 + 9 \\\\y = \frac{1}{2}x + 6$

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xxxanitaxxx

13.02.2022

Because they are both infinitely long.

Step-by-step explanation:

A ray goes on to infinity from a given point in one direction, whereas a line goes on to infinity in both directions.

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