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(1,6) and (2,3) are on line?

1 Answer

6 votes

Answer:

y = - 3x + 9 or (y - 6) = - 3(x - 1)

Explanation:

I'm assuming you are looking for the equation of the line.

First, let's find the slope of the line, which we use equation (y1-y2) / (x1-x2)

x1: 1 x2: 2

y1: 6 y2: 3

(6-3) / (1-2) = 3 / -1 = -3

The slope of the line is -3.

The equation for slope-intercept form is y = mx + b, where m is slope and b is the y - intercept.

y = -3x+b

Now substitute a set of points in (any coordinates work). I'll use (1, 6)

6 = -3(1)+b

6 = - 3 + b

b = 9

So our equation in slope intercept form is y = - 3x + 9

You can also write this in point slope form, (y-y1) = m (x-x1) m is still slope

(y - 6) = - 3(x - 1)

User Saurabh Solanki
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