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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