Asked by Esther
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.
Thank you.
Answers
Answered by
Reiny
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
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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