Posted by **Esther** on Tuesday, January 25, 2011 at 2:35am.

Find an equation of the line containing the given pair of points (-1,-6) and (-4,-8). The equation of the line in slope intercept form is y=?

Thank you.

- Algebra 1 -
**Reiny**, Tuesday, January 25, 2011 at 9:02am
This is the most fundamental of questions in the topic of linear functions.

You must learn and practise how to do this.

1. find the slope

slope = (-8+6)/(-4+1) = -2/-3 = 2/3

2. let the equation be

y = (2/3)x + b

3. sub in one of the given points, I will use (-1,-6)

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

-6 = -2/3 + b

-16/3 = b

4. rewrite the equation using the found value of b

y = (2/3)x - 16/3

I also suggest testing your equation with the point that was NOT used in finding b

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